{"id":251,"date":"2023-07-10T12:56:19","date_gmt":"2023-07-10T12:56:19","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d9%88%d8%b6%d8%b9-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a-%d9%84%d8%ae%d8%b7%d9%8a%d9%86-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-r3-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%aa\/"},"modified":"2023-07-10T12:56:19","modified_gmt":"2023-07-10T12:56:19","slug":"%d8%a7%d9%84%d9%85%d9%88%d8%b6%d8%b9-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a-%d9%84%d8%ae%d8%b7%d9%8a%d9%86-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-r3-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%aa","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d9%88%d8%b6%d8%b9-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a-%d9%84%d8%ae%d8%b7%d9%8a%d9%86-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-r3-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%aa\/","title":{"rendered":"\u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u062e\u0637\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0641\u064a R3). \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0647\u0648 \u064a\u0634\u0631\u062d \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0637\u0631\u064a\u0642\u062a\u064a\u0646 \u0627\u0644\u0645\u0645\u0643\u0646\u062a\u064a\u0646: \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u0646\u0637\u0627\u0642\u0627\u062a \u0623\u0648 \u0645\u0646 \u0646\u0642\u0637\u0629 \u0648\u0645\u062a\u062c\u0647 \u0644\u0643\u0644 \u062e\u0637. \u0633\u062a\u062a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-104\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-posiciones-relativas-de-dos-rectas-en-el-espacio\"><\/span> \u0645\u0627 \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u062e\u0637\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621\u061f <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-105\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629\u060c \u0639\u0646\u062f \u0627\u0644\u0639\u0645\u0644 \u0641\u064a \u0645\u0633\u0627\u062d\u0629 \u062b\u0644\u0627\u062b\u064a\u0629 \u0627\u0644\u0623\u0628\u0639\u0627\u062f (\u0641\u064a R3) \u0647\u0646\u0627\u0643 4 \u0645\u0648\u0627\u0636\u0639 \u0646\u0633\u0628\u064a\u0629 \u0645\u062d\u062a\u0645\u0644\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646: \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u062e\u0637\u0627\u0646 <strong>\u0639\u0628\u0627\u0631\u0629 \u0639\u0646 \u062e\u0637\u0648\u0637 \u0645\u062f\u0645\u062c\u0629<\/strong> \u0623\u0648 \u062e\u0637\u0648\u0637 <strong>\u0645\u062a\u0648\u0627\u0632\u064a\u0629<\/strong> \u0623\u0648 <strong>\u062e\u0637\u0648\u0637 \u0642\u0627\u0637\u0639\u0629<\/strong> \u0623\u0648 <strong>\u062e\u0637\u0648\u0637 \u0642\u0627\u0637\u0639\u0629<\/strong> . <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-79\" style=\";text-align:right;direction:rtl\">\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00;text-align:right;direction:rtl\"> <strong>\u062e\u0637\u0648\u0637 \u0645\u062a\u0648\u0627\u0632\u064a\u0629<\/strong> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/droites-paralleles-a-langle.webp\" alt=\"\u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646\" class=\"wp-image-1643\" width=\"222\" height=\"200\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u0633\u062a\u0642\u064a\u0645\u0627\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u0647\u0645\u0627 \u0646\u0641\u0633 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0648\u0644\u0643\u0646 \u0644\u064a\u0633 \u0628\u064a\u0646\u0647\u0645\u0627 \u0646\u0642\u0637\u0629 \u0645\u0634\u062a\u0631\u0643\u0629. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0627\u0644\u062e\u0637\u0648\u0637 \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u0629 \u062a\u0643\u0648\u0646 \u062f\u0627\u0626\u0645\u064b\u0627 \u0639\u0644\u0649 \u0646\u0641\u0633 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0645\u0646 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636. <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00;text-align:right;direction:rtl\"> <strong>\u062e\u0637\u0648\u0637 \u0645\u062a\u0637\u0627\u0628\u0642\u0629<\/strong> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/angle-coincident-lignes.webp\" alt=\"\u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646 \u0645\u062a\u0637\u0627\u0628\u0642\u064a\u0646\" class=\"wp-image-1646\" width=\"202\" height=\"179\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0637\u0627\u0628\u0642 \u0627\u0644\u062e\u0637\u0627\u0646 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u0647\u0645\u0627 \u0646\u0641\u0633 \u0627\u0644\u0627\u062a\u062c\u0627\u0647\u060c \u0648\u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062c\u0645\u064a\u0639 \u0646\u0642\u0627\u0637\u0647\u0645\u0627 \u0645\u0634\u062a\u0631\u0643\u0629. <\/p>\n<\/div>\n<\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-106\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<div class=\"wp-block-columns is-layout-flex wp-container-82\" style=\";text-align:right;direction:rtl\">\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00;text-align:right;direction:rtl\"> <strong>\u062e\u0637\u0648\u0637 \u0645\u062a\u0642\u0627\u0637\u0639\u0629<\/strong> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/angles-droits-secants.webp\" alt=\"\u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646 \u0645\u062a\u0642\u0627\u0637\u0639\u064a\u0646\" class=\"wp-image-1644\" width=\"222\" height=\"208\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u062e\u0637\u0627\u0646 \u0645\u062a\u0642\u0627\u0637\u0639\u0627\u0646 \u0644\u0647\u0645\u0627 \u0627\u062a\u062c\u0627\u0647\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0648\u0644\u0643\u0646\u0647\u0645\u0627 \u064a\u062a\u0644\u0627\u0645\u0633\u0627\u0646 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0648\u0627\u062d\u062f\u0629. <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center has-text-color has-medium-font-size\" style=\"color:#ff6f00;text-align:right;direction:rtl\"> <strong>\u062e\u0637\u0648\u0637 \u0627\u0644\u062a\u0642\u0627\u0637\u0639<\/strong> <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/lignes-dintersection-1.webp\" alt=\"\" class=\"wp-image-2692\" width=\"228\" height=\"221\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u062e\u0637\u0627\u0646 \u0645\u062a\u0642\u0627\u0637\u0639\u0627\u0646 \u0644\u0647\u0645\u0627 \u0627\u062a\u062c\u0627\u0647\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0648\u0644\u0627 \u064a\u062a\u0642\u0627\u0637\u0639\u0627\u0646 \u0641\u064a \u0623\u064a \u0646\u0642\u0637\u0629. \u0648\u0644\u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u0627\u0644\u0645\u062a\u0642\u0627\u0637\u0639\u064a\u0646 \u0644\u064a\u0633\u0627 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0641\u064a \u0627\u0644\u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0631\u0633\u0648\u0645\u064a \u0641\u0648\u0642 \u0627\u0644\u0633\u0637\u0631<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u0648 \u062f\u0627\u0626\u0645\u0627 \u0641\u064a \u0627\u0644\u0645\u0642\u062f\u0645\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u060c \u0644\u0630\u0644\u0643 \u0644\u0646 \u064a\u0644\u0645\u0633\u0648\u0627 \u0628\u0639\u0636\u0647\u0645 \u0627\u0644\u0628\u0639\u0636 \u0623\u0628\u062f\u064b\u0627.<\/p>\n<\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0646\u0627\u0643 \u0637\u0631\u064a\u0642\u062a\u0627\u0646 \u0644\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u062e\u0637\u064a\u0646\u060c \u062d\u064a\u062b \u062a\u0639\u062a\u0645\u062f\u0627\u0646 \u0639\u0644\u0649 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0646:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u062e\u0637\u0648\u0637 \u0641\u064a \u0634\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u062a\u062c\u0647\u0629 \u0623\u0648 \u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0623\u0648 \u0645\u0633\u062a\u0645\u0631\u0629\u060c \u0641\u0645\u0646 \u0627\u0644\u0623\u0641\u0636\u0644 <strong>\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0645\u0646 \u0646\u0642\u0637\u0629 \u0648\u0645\u062a\u062c\u0647 \u0644\u0643\u0644 \u062e\u0637<\/strong> (\u064a\u0631\u062f \u0634\u0631\u062d \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0623\u062f\u0646\u0627\u0647).<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0625\u0630\u0627 \u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062e\u0637\u0648\u0637 \u0641\u064a \u0634\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0636\u0645\u0646\u064a\u0629 (\u0623\u0648 \u0639\u0627\u0645\u0629)\u060c \u0641\u0645\u0646 \u0627\u0644\u0623\u0633\u0647\u0644 <strong>\u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u0639\u0646 \u0637\u0631\u064a\u0642 \u062d\u0633\u0627\u0628 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646<\/strong> (\u0627\u0646\u0638\u0631 \u0627\u0644\u0634\u0631\u062d \u0623\u062f\u0646\u0627\u0647). <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"determinar-la-posicion-relativa-de-dos-rectas-a-partir-de-un-punto-y-un-vector\"><\/span> \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646 \u0645\u0646 \u0646\u0642\u0637\u0629 \u0648\u0645\u062a\u062c\u0647 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center;text-align:right;direction:rtl\">\n<div id=\"ezoic-pub-ad-placeholder-109\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0627\u0644\u0645\u0648\u062c\u0648\u062f \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0628\u0646\u0642\u0637\u0629 \u0648\u0645\u062a\u062c\u0647 \u0644\u0643\u0644 \u062e\u0637. \u062a\u0639\u062a\u0628\u0631 \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0645\u0646\u0627\u0633\u0628\u0629 \u0644\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0639\u0646\u062f\u0645\u0627 \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062e\u0637\u0648\u0637 \u0641\u064a \u0634\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u062a\u062c\u0647\u0629 \u0623\u0648 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0623\u0648 \u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u0633\u062a\u0645\u0631\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0644\u064a\u0643\u0646 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0648\u0623\u064a \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0643\u0644 \u0645\u0646 \u0627\u0644\u062e\u0637\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1bdc3a31a3a5a8aa3da312bb2badb356_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{v}} = (\\text{v}}_x, \\text{v}}_y,\\text{v}}_z})\\\\[2ex] P(P_x,P_y,P_z)\\end{cases} \\qquad\\qquad s: \\ \\begin{cases} \\vv{\\text{v}}' = (\\text{v}}_x', \\text{v}}_y',\\text{v}}_z'})\\\\[2ex] P'(P_x',P_y',P_z')\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"66\" width=\"417\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0627\u060c \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646\u060c \u0639\u0644\u064a\u0646\u0627 \u0627\u062a\u0628\u0627\u0639 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\"> <strong><span style=\"color:#ff6f00;\">\u2023<\/span><\/strong> \u0623\u0648\u0644 \u0634\u064a\u0621 \u064a\u062a\u0639\u064a\u0646 \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0647 \u0647\u0648 \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0646 \u0645\u062a\u0646\u0627\u0633\u0628\u0629 \u0623\u0645 \u0644\u0627\u060c \u0648\u062d\u0633\u0628 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0646\u0642\u0648\u0645 \u0628\u0645\u0627 \u064a\u0644\u064a:<\/p>\n<ul style=\"color:#ff6f00; font-weight: bold;list-style-type:disc;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u0646 \u0645\u062a\u0646\u0627\u0633\u0628\u064a\u0646\u060c \u0641\u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u0633\u062a\u0642\u064a\u0645\u0627\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0623\u0648 \u0645\u062a\u0637\u0627\u0628\u0642\u064a\u0646. \u0644\u0630\u0644\u0643 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0646\u0642\u0637\u0629 \u0623\u062d\u062f \u0627\u0644\u062e\u0637\u064a\u0646 \u062a\u062d\u0642\u0642 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637 \u0627\u0644\u0622\u062e\u0631:<\/span>\n<ul style=\"list-style-type:circle;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0646\u0642\u0637\u0629 \u0623\u062d\u062f \u0627\u0644\u062e\u0637\u064a\u0646 \u062a\u062d\u0642\u0642 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637 \u0627\u0644\u0622\u062e\u0631\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u0645\u062a\u0637\u0627\u0628\u0642\u0627\u0646.<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u0648\u0625\u0644\u0627 \u0641\u0625\u0646\u0647 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646.<\/span><\/li>\n<\/ul>\n<\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u0625\u0630\u0627 \u0644\u0645 \u064a\u0643\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u0646 \u0645\u062a\u0646\u0627\u0633\u0628\u064a\u0646\u060c \u0641\u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0645\u062a\u0642\u0627\u0637\u0639\u0629 \u0623\u0648 \u0645\u062a\u0642\u0627\u0637\u0639\u0629. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062d\u0644 \u0627\u0644\u0645\u062d\u062f\u062f 3\u00d73 \u0627\u0644\u062a\u0627\u0644\u064a:<\/span>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-84a440053c71b2d4287cf246ff1d2f4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} \\text{v}}_x &amp; \\text{v}}_x' &amp; P_x-P_x' \\\\[1.1ex] \\text{v}}_y &amp; \\text{v}}_y' &amp; P_y-P_y' \\\\[1.1ex]\\text{v}}_z &amp; \\text{v}}_z' &amp; P_z-P_z'  \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul style=\"list-style-type:circle;text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u062d\u062f\u062f \u0627\u0644\u0633\u0627\u0628\u0642 \u064a\u0633\u0627\u0648\u064a \u0627\u0644\u0635\u0641\u0631\u060c \u0641\u0625\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u064a\u062a\u0642\u0627\u0637\u0639\u0627\u0646 \u0639\u0646\u062f \u0646\u0642\u0637\u0629 (\u064a\u062a\u0642\u0627\u0637\u0639\u0627\u0646).<\/span><\/li>\n<li style=\";text-align:right;direction:rtl\"> <span style=\"color:#000000;font-weight: normal;\">\u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0645\u062d\u062f\u062f \u0627\u0644\u0633\u0627\u0628\u0642 \u0645\u062e\u062a\u0644\u0641\u0627 \u0639\u0646 \u0627\u0644\u0635\u0641\u0631\u060c \u0641\u0625\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u064a\u062a\u0642\u0627\u0637\u0639\u0627\u0646.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u062a\u0627\u0644\u064a \u064a\u0644\u062e\u0635 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0628\u0623\u0643\u0645\u0644\u0647: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/positions-relatives-de-deux-lignes.webp\" alt=\"\u0627\u0644\u0645\u0648\u0627\u0642\u0641 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0645\u0646 \u062e\u0637\u064a\u0646\" class=\"wp-image-2731\" width=\"827\" height=\"544\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-determinar-la-posicion-relativa-entre-dos-rectas\"><\/span> \u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u062e\u0637\u064a\u0646<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0642\u062f \u064a\u0628\u062f\u0648 \u0627\u0644\u0625\u062c\u0631\u0627\u0621 \u0627\u0644\u0633\u0627\u0628\u0642 \u0645\u0639\u0642\u062f\u064b\u0627 \u0628\u0639\u0636 \u0627\u0644\u0634\u064a\u0621\u060c \u0644\u0643\u0646 \u0644\u0643\u064a \u062a\u0631\u0649 \u0623\u0646 \u0627\u0644\u0623\u0645\u0631 \u0639\u0643\u0633 \u0630\u0644\u0643\u060c \u0633\u0646\u062d\u0644 \u0645\u0634\u0643\u0644\u0629 \u0643\u0645\u062b\u0627\u0644:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u062d\u062f\u062f \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0627\u0644\u0633\u0637\u0631\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u064a\u0646:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-16d9c8120b44ee56adb7cd6358b34f44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ (x,y,z)=(2,0,1)+t(4,-1,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"264\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0d49353d91f4eb7753b4cb7229859f81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s: \\ (x,y,z)=(1,-3,1)+t(1,2,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"264\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u062a\u0645 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u0643\u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u062a\u062c\u0647\u0629\u060c \u062d\u064a\u062b \u064a\u0643\u0648\u0646 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0643\u0644 \u062e\u0637:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c5e74a2aac28c26437e62531f2bb7c88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r} =(4,-1,1) \\qquad \\qquad \\vv{s}=(1,2,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"260\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u064a \u064a\u0645\u0631 \u0628\u0647\u0627 \u0643\u0644 \u062e\u0637 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e9386dff14919cdeaf57a882471de177_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R(2,0,1)\\qquad \\qquad S(1,-3,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"222\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0646\u0642\u0637\u0629 \u0648\u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0643\u0644 \u062e\u0637\u060c \u0646\u0637\u0628\u0642 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0648\u0636\u062d\u0629 \u0623\u0639\u0644\u0627\u0647. \u0623\u0648\u0644\u064b\u0627\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0645\u062a\u0646\u0627\u0633\u0628\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fe839d3477334c9358279b3d97bcf4d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{4}{1} \\neq \\cfrac{-1}{2} \\neq \\cfrac{1}{0} \\quad \\longrightarrow \\quad \\text{No proporcionales}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"314\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0638\u0631\u064b\u0627 \u0644\u0623\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0646 \u063a\u064a\u0631 \u0645\u062a\u0646\u0627\u0633\u0628\u064a\u0646 \u0645\u0639 \u0628\u0639\u0636\u0647\u0645\u0627 \u0627\u0644\u0628\u0639\u0636\u060c \u0641\u0625\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u062a\u0644\u0627\u0645\u0633 \u0623\u0648 \u062a\u062a\u0642\u0627\u0637\u0639 \u0645\u0639 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636 \u0641\u0642\u0637. \u0644\u0630\u0644\u0643\u060c \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u062d\u062f\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u0630\u064a \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0648\u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0643\u0644 \u062e\u0637:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-225a68c152f54a250471b7c4c2254b89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} \\text{v}}_x &amp; \\text{v}}_x' &amp; P_x-P_x' \\\\[1.1ex] \\text{v}}_y &amp; \\text{v}}_y' &amp; P_y-P_y' \\\\[1.1ex]\\text{v}}_z &amp; \\text{v}}_z' &amp; P_z-P_z' \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0646\u0633\u062a\u0628\u062f\u0644 \u0627\u0644\u0642\u064a\u0645 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fac3bc2228451f94261e296aeecb5de6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 4 &amp; 1 &amp; 2-1 \\\\[1.1ex] -1 &amp; 2 &amp; 0-(-3) \\\\[1.1ex]1&amp; 0 &amp; 1-1 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"139\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0646\u062d\u0646 \u0646\u062d\u0633\u0628 \u0627\u0644\u0645\u062d\u062f\u062f\u060c \u0644\u0630\u0644\u0643 \u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0623\u064a \u0637\u0631\u064a\u0642\u0629 (\u0642\u0627\u0639\u062f\u0629 \u0633\u0627\u0631\u0648\u0633\u060c \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0645\u0643\u0645\u0644\u0627\u062a \u0623\u0648 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u0645\u0633\u0627\u0639\u062f\u0629\u060c \u0648\u0645\u0627 \u0625\u0644\u0649 \u0630\u0644\u0643):<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-538af230a8105fceefc5a30f41237ea3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 4 &amp; 1 &amp; 1 \\\\[1.1ex] -1 &amp; 2 &amp; 3 \\\\[1.1ex]1&amp; 0 &amp; 0 \\end{vmatrix} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"116\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0644\u0648 \u0643\u0627\u0646\u062a \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u062a\u062d\u062f\u064a\u062f \u0635\u0641\u0631\u0627\u064b\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0645\u062a\u0642\u0627\u0637\u0639\u0629 (\u0645\u062a\u0644\u0627\u0645\u0633\u0629). \u0644\u0643\u0646 \u0627\u0644\u0645\u062d\u062f\u062f \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 0\u060c \u0644\u0630\u0627 <strong>\u062a\u062a\u0642\u0627\u0637\u0639 \u0627\u0644\u062e\u0637\u0648\u0637<\/strong> . <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"hallar-la-posicion-relativa-de-dos-rectas-por-rangos\"><\/span> \u0627\u0628\u062d\u062b \u0639\u0646 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646 \u062d\u0633\u0628 \u0627\u0644\u0635\u0641\u0648\u0641<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0647\u0646\u0627\u0643 \u0637\u0631\u064a\u0642\u0629 \u0623\u062e\u0631\u0649 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0635\u0641\u064a\u0646 \u0648\u0647\u064a \u062d\u0633\u0627\u0628 \u0631\u062a\u0628 \u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646 \u0645\u0644\u0645\u0648\u0633\u062a\u064a\u0646\u060c \u0643\u0645\u0627 \u0633\u0646\u0631\u0649 \u0628\u0639\u062f \u0630\u0644\u0643. \u0647\u0630\u0647 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0645\u0641\u064a\u062f\u0629 \u062c\u062f\u064b\u0627 \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u062e\u0637\u0627\u0646 \u0641\u064a \u0635\u064a\u063a\u0629 \u0645\u0639\u0627\u062f\u0644\u0629 \u0636\u0645\u0646\u064a\u0629 (\u0623\u0648 \u0639\u0627\u0645\u0629).<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0625\u0630\u0627 \u0643\u0627\u0646 \u0644\u062f\u064a\u0646\u0627 \u062e\u0637\u064a\u0646 \u0645\u0639\u0628\u0631\u0627 \u0639\u0646\u0647\u0645\u0627 \u0628\u0645\u0639\u0627\u062f\u0644\u0627\u062a\u0647\u0645\u0627 \u0627\u0644\u0636\u0645\u0646\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0639\u0627\u0645\u0629) \u0641\u064a \u0641\u0636\u0627\u0621 \u062b\u0644\u0627\u062b\u064a \u0627\u0644\u0623\u0628\u0639\u0627\u062f (\u0641\u064a R3):<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-500405383e97627c17d01023fd9dd198_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}A_1x+B_1y+C_1z+D_1=0 \\\\[2ex] A_2x+B_2y+C_2z+D_2=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1c96b6990dae5ce476ee55689cf4f4fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s: \\ \\begin{cases}A_3x+B_3y+C_3z+D_3=0 \\\\[2ex] A_4x+B_4y+C_4z+D_4=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"256\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062a\u0643\u0646 A \u0647\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0643\u0648\u0646\u0629 \u0645\u0646 \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9199790c5f157691d9307604f25fc873_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}A_1 &amp; B_1 &amp; C_1\\\\[1.1ex]A_2 &amp; B_2 &amp; C_2\\\\[1.1ex]A_3 &amp; B_3 &amp; C_3\\\\[1.1ex]A_4 &amp; B_4 &amp; C_4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"158\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u0646\u0638\u0631 \u0625\u0644\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217;\u060c \u0648\u0647\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0643\u0648\u0646\u0629 \u0645\u0646 \u062c\u0645\u064a\u0639 \u0645\u0639\u0644\u0645\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0646:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f087aea2d9209341c2acf240eab2bc77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A'=\\begin{pmatrix}A_1 &amp; B_1 &amp; C_1&amp;D_1\\\\[1.1ex]A_2 &amp; B_2 &amp; C_2&amp;D_2\\\\[1.1ex]A_3 &amp; B_3 &amp; C_3&amp;D_3\\\\[1.1ex]A_4 &amp; B_4 &amp; C_4&amp;D_4 \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"201\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u062b\u0645 \u064a\u0645\u0643\u0646 \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0644\u0635\u0641\u064a\u0646 \u0628\u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646 \u0627\u0644\u0633\u0627\u0628\u0642\u062a\u064a\u0646 \u062d\u0633\u0628 \u0627\u0644\u062c\u062f\u0648\u0644 \u0627\u0644\u062a\u0627\u0644\u064a: <\/p>\n<div class=\"wp-block-image\" style=\";text-align:right;direction:rtl\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/positions-relatives-de-deux-lignes-par-plages.webp\" alt=\"\u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u062e\u0637\u064a\u0646 \u062d\u0633\u0628 \u0627\u0644\u0635\u0641\u0648\u0641\" class=\"wp-image-2752\" width=\"494\" height=\"223\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> <strong>\u0644\u0630\u0644\u0643\u060c \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0635\u0641\u064a\u0646\u060c \u0633\u064a\u062a\u0639\u064a\u0646 \u0639\u0644\u064a\u0646\u0627 \u062d\u0633\u0627\u0628 \u0631\u062a\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646\u060c \u0648\u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0631\u062a\u0628\u0629 \u0643\u0644 \u0645\u0635\u0641\u0648\u0641\u0629 \u0633\u062a\u0643\u0648\u0646 \u062d\u0627\u0644\u0629 \u0623\u0648 \u0623\u062e\u0631\u0649.<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u064a\u0645\u0643\u0646 \u0625\u062b\u0628\u0627\u062a \u0647\u0630\u0647 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0646\u0638\u0631\u064a\u0629 \u0631\u0648\u0634\u064a\u0647-\u0641\u0631\u0648\u0628\u064a\u0646\u064a\u0648\u0633 (\u0637\u0631\u064a\u0642\u0629 \u062a\u0633\u062a\u062e\u062f\u0645 \u0644\u062d\u0644 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u064a\u0629)\u060c \u0648\u0644\u0643\u0646 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0644\u0646 \u0646\u0642\u0648\u0645 \u0628\u0627\u0644\u0628\u0631\u0647\u0627\u0646 \u0644\u0623\u0646\u0647\u0627 \u0645\u0631\u0647\u0642\u0629 \u0644\u0644\u063a\u0627\u064a\u0629 \u0648\u0644\u0627 \u062a\u0636\u064a\u0641 \u0627\u0644\u0643\u062b\u064a\u0631. <\/p>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-hallar-la-posicion-relativa-de-dos-rectas-por-rangos\"><\/span> \u0645\u062b\u0627\u0644 \u0639\u0644\u0649 \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646 \u062d\u0633\u0628 \u0627\u0644\u0646\u0637\u0627\u0642\u0627\u062a<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0631\u0623\u064a\u0646\u0627 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0628\u064a\u0646 \u0633\u0637\u0631\u064a\u0646 \u062a\u0644\u0648 \u0627\u0644\u0622\u062e\u0631\u060c \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u0648\u0636\u0639\u0647\u0627 \u0645\u0648\u0636\u0639 \u0627\u0644\u062a\u0646\u0641\u064a\u0630 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0645\u062b\u0627\u0644:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0644\u0633\u0637\u0631\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u064a\u0646:<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0d930886e4afd4cd3b14f1bd788c6da5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}3x+2y+z+4=0 \\\\[2ex] 4x+2z+2=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"198\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7704e8cf4de26fa0c249eaabdefa4150_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s: \\ \\begin{cases}3x+4z-1=0 \\\\[2ex] x-5y-2z-2=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"197\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062e\u0637\u0627\u0646 \u0639\u0644\u0649 \u0634\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0639\u0627\u0645\u0629 (\u0623\u0648 \u0636\u0645\u0646\u064a\u0629)\u060c \u0644\u0630\u0644\u0643 \u0633\u0646\u0633\u062a\u062e\u062f\u0645 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0631\u062a\u0628 \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0627\u0644\u062e\u0637\u064a\u0646. \u0644\u0630\u0644\u0643 \u0646\u0642\u0648\u0645 \u0628\u0628\u0646\u0627\u0621 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217; \u0628\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u0648\u0637:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3726bfaa82678d1fffdbae281882572a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}3 &amp; 2 &amp; 1\\\\[1.1ex]4 &amp; 0 &amp; 2\\\\[1.1ex]3 &amp; 0 &amp; 4\\\\[1.1ex]1 &amp; -5 &amp; -2 \\end{pmatrix} \\qquad \\qquad A'=\\begin{pmatrix}3 &amp; 2 &amp; 1&amp;4\\\\[1.1ex]4 &amp; 0 &amp; 2&amp;2\\\\[1.1ex]3 &amp; 0 &amp; 4&amp;-1\\\\[1.1ex]1 &amp; -5 &amp; -2 &amp;-2  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"422\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u062d\u0635\u0648\u0644\u0646\u0627 \u0639\u0644\u0649 \u0643\u0644\u062a\u0627 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u0631\u062a\u0628\u0629 \u0643\u0644 \u0645\u0646\u0647\u0645\u0627. \u0646\u062d\u0633\u0628 \u0623\u0648\u0644\u0627\u064b \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0628\u0648\u0627\u0633\u0637\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-18eb85dd3870c1e7c865705200cf6414_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1e643845acc44a30e16f7628e85955d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}3 &amp; 2 &amp; 1\\\\[1.1ex]4 &amp; 0 &amp; 2\\\\[1.1ex]3 &amp; 0 &amp; 4 \\end{vmatrix}  = -20 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"152\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-466d66279a42e8aeb422d568e1547ef9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062a\u0648\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0639\u0644\u0649 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0641\u0631\u0639\u064a\u0629 \u063a\u064a\u0631 \u0627\u0644\u0635\u0641\u0631\u064a\u0629 3\u00d73\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0644\u0647\u0627 \u0627\u0644\u0631\u062a\u0628\u0629 3<\/strong> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0646\u0637\u0627\u0642 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217;. \u0633\u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u062f\u0627\u0626\u0645\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u0641\u064a \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A\u060c \u0648\u0627\u0644\u062a\u064a \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u062a\u0633\u0627\u0648\u064a 3\u060c \u0644\u0630\u0644\u0643 \u064a\u0643\u0641\u064a \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 4 \u0623\u0648 \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 3. \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0642\u0645\u0646\u0627 \u0628\u062d\u0644 \u0627\u0644\u0645\u062d\u062f\u062f \u0645\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 4 \u00d7 4 \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u0625\u0636\u0627\u0641\u0627\u062a (\u0623\u0648 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u0645\u0633\u0627\u0639\u062f\u0629): <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d97c98cb8c416b0ce39b18628124923c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A')= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dd21ed058cb7405e6aee811315086225_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle det(A')=\\begin{vmatrix}3 &amp; 2 &amp; 1&amp;4\\\\[1.1ex]4 &amp; 0 &amp; 2&amp;2\\\\[1.1ex]3 &amp; 0 &amp; 4&amp;-1\\\\[1.1ex]1 &amp; -5 &amp; -2 &amp;-2 \\end{vmatrix} =\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"234\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0f99f68649b9ca6274e4531a1d172315_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =3 \\cdot\\begin{vmatrix} 0 &amp; 2&amp;2\\\\[1.1ex] 0 &amp; 4&amp;-1\\\\[1.1ex] -5 &amp; -2 &amp;-2 \\end{vmatrix}-2\\cdot\\begin{vmatrix}4 &amp; 2&amp;2\\\\[1.1ex]3 &amp; 4&amp;-1\\\\[1.1ex]1 &amp; -2 &amp;-2 \\end{vmatrix}+1\\cdot\\begin{vmatrix}4 &amp; 0 &amp;2\\\\[1.1ex]3 &amp; 0 &amp; -1\\\\[1.1ex]1 &amp; -5 &amp; -2 \\end{vmatrix}-4\\cdot \\begin{vmatrix}4 &amp; 0 &amp; 2\\\\[1.1ex]3 &amp; 0 &amp; 4\\\\[1.1ex]1 &amp; -5 &amp; -2 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"553\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-39e083e5164c9719ef34fae3bcc2fe29_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =3 \\cdot 50-2\\cdot(-50)+1\\cdot(-50)-4\\cdot 50\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"297\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3de941669508660aa0a9173155a34685_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =150+100-50-200\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"182\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-df99174f84ad1be8de3746d1ed3e245c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e8c9889f409b449fd7809f4e02394de2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 \u0628\u0623\u0643\u0645\u0644\u0647\u0627 \u0647\u0648 \u0635\u0641\u0631\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0647\u064a \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0627\u0644\u0645\u0631\u062a\u0628\u0629 3<\/strong> .<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 3 \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a <strong>\u064a\u062a\u0642\u0627\u0637\u0639 \u0627\u0644\u062e\u0637\u0627\u0646<\/strong> . \u0623\u064a \u0623\u0646 \u0647\u0646\u0627\u0643 \u0646\u0642\u0637\u0629 \u062a\u0642\u0627\u0637\u0639 \u0648\u0627\u062d\u062f\u0629 \u0641\u0642\u0637 \u0628\u064a\u0646\u0647\u0645\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-48635c0a23e1d45677b03099c38205e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{orange} \\boxed{\\color{black} \\quad rg(A) = rg(A')= 3 \\quad \\longrightarrow \\quad \\text{Rectas Secantes} \\quad \\vphantom{\\Bigl(}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"488\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646 \u0644\u062f\u064a\u0643 \u062c\u062f\u0648\u0644\u064b\u0627 \u0623\u0639\u0644\u0627\u0647 \u064a\u0644\u062e\u0635 \u062c\u0645\u064a\u0639 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0644\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0648\u0641\u0642\u064b\u0627 \u0644\u0646\u0637\u0627\u0642\u0627\u062a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a A \u0648A&#8217;. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-posicion-relativa-entre-dos-rectas-en-el-espacio\"><\/span> \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 1<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0627\u0644\u0633\u0637\u0631\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u064a\u0646: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0ee51f157ce008a022df46fc1930955e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ (x,y,z)=(3,4,0)+t(2,1,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"264\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b3980ce534f631ae1f4781492158bcd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s: \\ (x,y,z)=(1,-2,2)+t(0,5,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"264\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0645\u0627 \u0623\u0646 \u0643\u0644\u0627 \u0627\u0644\u062e\u0637\u064a\u0646 \u064a\u062a\u0645 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646\u0647\u0645\u0627 \u0643\u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u062a\u062c\u0647\u0629\u060c \u0641\u0633\u0646\u062c\u062f \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u0628\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0648\u0627\u062d\u062f\u0629 \u0648\u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0648\u0627\u062d\u062f \u0644\u0643\u0644 \u062e\u0637.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0643\u0644 \u062e\u0637 \u0647\u0648:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0112cb63d5449bc1868594300ae69609_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r} =(2,1,-3) \\qquad \\qquad \\vv{s}=(0,5,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"260\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u064a \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0643\u0644 \u0633\u0637\u0631 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62532678cedab3090235b715a54792d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R(3,4,0)\\qquad \\qquad S(1,-2,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"222\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0644\u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0625\u062c\u0631\u0627\u0621\u060c \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0623\u0648\u0644\u0627\u064b \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0645\u0643\u0648\u0646\u0627\u062a \u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0645\u062a\u0646\u0627\u0633\u0628\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c9d7a07d74505c2794d50f3ecb878ed7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2}{0} \\neq \\cfrac{1}{5} \\neq \\cfrac{-3}{1} \\quad \\longrightarrow \\quad \\text{No proporcionales}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"314\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0645\u0627 \u0623\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0646 \u063a\u064a\u0631 \u0645\u062a\u0646\u0627\u0633\u0628\u064a\u0646 \u0645\u0639 \u0628\u0639\u0636\u0647\u0645\u0627 \u0627\u0644\u0628\u0639\u0636\u060c \u0641\u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0645\u062a\u0642\u0627\u0637\u0639\u0629 \u0623\u0648 \u0645\u062a\u0642\u0627\u0637\u0639\u0629 \u0625\u0644\u0627. \u0644\u0630\u0644\u0643\u060c \u0639\u0644\u064a\u0646\u0627 \u0627\u0644\u0622\u0646 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u062d\u062f\u062f \u0627\u0644\u062a\u0627\u0644\u064a \u0627\u0644\u0630\u064a \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0648\u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0643\u0644 \u062e\u0637:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-225a68c152f54a250471b7c4c2254b89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} \\text{v}}_x &amp; \\text{v}}_x' &amp; P_x-P_x' \\\\[1.1ex] \\text{v}}_y &amp; \\text{v}}_y' &amp; P_y-P_y' \\\\[1.1ex]\\text{v}}_z &amp; \\text{v}}_z' &amp; P_z-P_z' \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u0633\u062a\u0628\u062f\u0644 \u0627\u0644\u0642\u064a\u0645 \u0641\u064a \u0627\u0644\u0635\u064a\u063a\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b5b88268ae0a4248a6289d0f789250a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 2 &amp; 0 &amp; 3-1 \\\\[1.1ex] 1 &amp; 5 &amp; 4-(-2) \\\\[1.1ex]-3&amp; 1 &amp; 0-2 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"139\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u062d\u0633\u0628 \u0627\u0644\u0645\u062d\u062f\u062f :<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-99043262ed64a3fce660dc55e943a93a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{vmatrix} 2 &amp; 0 &amp; 2 \\\\[1.1ex] 1 &amp; 5 &amp; 6 \\\\[1.1ex]-3&amp; 1 &amp; -2 \\end{vmatrix}= 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"125\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0646\u062a\u064a\u062c\u0629 \u0627\u0644\u0645\u062d\u062f\u062f \u062a\u0639\u0627\u062f\u0644 0\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 <strong>\u0627\u0644\u062e\u0637\u0648\u0637 \u062a\u062a\u0642\u0627\u0637\u0639<\/strong> .<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0644\u0633\u0637\u0631\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u064a\u0646: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1848a24fa2901265ca9b0d141c7e2d4b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle  r: \\ \\begin{cases} x=3+2t \\\\[1.7ex] y=1+3t \\\\[1.7ex] z=2-t \\end{cases} \\qquad \\qquad s: \\ \\cfrac{x+1}{-4}=\\cfrac{y+5}{-6} = \\cfrac{z-4}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"421\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0633\u0637\u0631 \u0627\u0644\u0623\u0648\u0644 \u0639\u0644\u0649 \u0634\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0648\u0627\u0644\u0633\u0637\u0631 \u0627\u0644\u062b\u0627\u0646\u064a \u0639\u0644\u0649 \u0634\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u062a\u0635\u0644\u0629\u060c \u0648\u0627\u0644\u062a\u064a \u0633\u0646\u062d\u062f\u062f \u0628\u0647\u0627 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u0628\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0648\u0627\u062d\u062f\u0629 \u0627\u0644\u0645\u062a\u062c\u0647 \u0644\u0643\u0644 \u062e\u0637.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u064a\u0645\u064a\u0646<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u064a \u0627\u0644\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0623\u0645\u0627\u0645 \u0627\u0644\u0645\u0639\u0644\u0645\u0629<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3bdeeaff7b1444be22ec3b07e3219ac5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t,\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"10\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0648\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u062e\u0637<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0647\u064a \u0623\u0631\u0642\u0627\u0645 \u0627\u0644\u0642\u0648\u0627\u0633\u0645:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a5b857b3af4daf70ac0819c2c43dccce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r} =(2,3,-1) \\qquad \\qquad \\vv{s}=(-4,-6,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"288\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062a\u064a \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0643\u0644 \u0633\u0637\u0631 \u0647\u064a:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5e174175d9f030d32e11a291f9478360_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R(3,1,2)\\qquad \\qquad S(-1,-5,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"235\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0644\u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0625\u062c\u0631\u0627\u0621\u060c \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0623\u0648\u0644\u0627\u064b \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0645\u0643\u0648\u0646\u0627\u062a \u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0645\u062a\u0646\u0627\u0633\u0628\u0629:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-53e7c51a55384b233a7d54ad4a710600_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2}{-4} = \\cfrac{3}{-6}= \\cfrac{-1}{2} \\quad \\longrightarrow \\quad \\text{Proporcionales}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"316\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u0646 \u0645\u062a\u0646\u0627\u0633\u0628\u0627\u0646 \u0645\u0639 \u0628\u0639\u0636\u0647\u0645\u0627 \u0627\u0644\u0628\u0639\u0636\u060c \u0644\u0630\u0644\u0643 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u062e\u0637\u0648\u0637 \u0645\u062a\u0648\u0627\u0632\u064a\u0629 \u0623\u0648 \u0645\u062a\u0637\u0627\u0628\u0642\u0629 \u0625\u0644\u0627. \u0648\u0644\u0625\u0632\u0627\u0644\u0629 \u0647\u0630\u0627 \u0627\u0644\u0634\u0643\u060c \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0639\u0644\u0649 \u0627\u0644\u0633\u0637\u0631<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0641\u064a \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> (\u0623\u0648 \u0627\u0644\u0639\u0643\u0633) \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062a\u0641\u064a \u0628\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-539533362856566b59b5d14d058dda23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R(3,1,2) \\ \\longrightarrow \\ \\cfrac{x+1}{-4}=\\cfrac{y+5}{-6} = \\cfrac{z-4}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"294\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ec6e9d0de4528399fec953e4db21063e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3+1}{-4}=\\cfrac{1+5}{-6} = \\cfrac{2-4}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"170\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4cfe9c6942d02fe58a00c5ee85055405_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{4}{-4}=\\cfrac{6}{-6} = \\cfrac{-2}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"127\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e236b00fec23266ff19f015885c2dbd6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-1=-1 = -1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"114\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0633\u062a\u0628\u062f\u0627\u0644 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\u062e\u0637 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u0627\u0648\u0627\u0629\u060c \u0628\u062d\u064a\u062b \u062a\u062d\u0642\u0642 \u0646\u0642\u0637\u0629 \u0623\u062d\u062f \u0627\u0644\u062e\u0637\u064a\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062e\u0637 \u0627\u0644\u0622\u062e\u0631\u060c \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u062a\u0643\u0648\u0646 \u0645\u062a\u062c\u0647\u0627\u062a \u0627\u062a\u062c\u0627\u0647\u0647\u0645\u0627 \u0645\u062a\u0646\u0627\u0633\u0628\u0629. \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 <strong>\u0627\u0644\u062e\u0637\u064a\u0646 \u0645\u062a\u0637\u0627\u0628\u0642\u0627\u0646.<\/strong><\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0644\u0633\u0637\u0631\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u064a\u0646: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-33fbac4dc2933022ff39a0ed9d457200_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}2x-2y-2z+5=0 \\\\[2ex] 2x-y-1=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"206\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8afae699c3b46dc2153236605e254fdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s: \\ \\begin{cases}4x-y+2z+3=0 \\\\[2ex] x-2y-3z+6=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"197\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062e\u0637\u0627\u0646 \u0641\u064a \u0635\u064a\u063a\u0629 \u0645\u0639\u0627\u062f\u0644\u0629 \u0639\u0627\u0645\u0629 (\u0623\u0648 \u0636\u0645\u0646\u064a\u0629)\u060c \u0644\u0630\u0627 \u0633\u0646\u0633\u062a\u062e\u062f\u0645 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u062a\u0631\u062a\u064a\u0628 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0627\u0644\u062e\u0637\u064a\u0646. \u0644\u0630\u0644\u0643 \u0646\u062c\u0639\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217; \u0628\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u0648\u0637:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6133960b0b951ec6c455384a1b2274c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}2 &amp; -2 &amp; -2\\\\[1.1ex]2 &amp; -1 &amp; 0\\\\[1.1ex]4 &amp; -1 &amp; 2\\\\[1.1ex]1 &amp; -2 &amp; -3\\end{pmatrix} \\qquad \\qquad A'=\\begin{pmatrix}2 &amp; -2 &amp; -2&amp;5\\\\[1.1ex]2 &amp; -1 &amp; 0&amp;-1\\\\[1.1ex]4 &amp; -1 &amp; 2&amp;3\\\\[1.1ex]1 &amp; -2 &amp; -3&amp;6  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"422\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u062d\u0635\u0648\u0644\u0646\u0627 \u0639\u0644\u0649 \u0643\u0644\u062a\u0627 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u0631\u062a\u0628\u0629 \u0643\u0644 \u0645\u0646\u0647\u0645\u0627. \u0646\u062d\u0633\u0628 \u0623\u0648\u0644\u0627\u064b \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0628\u0648\u0627\u0633\u0637\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-18eb85dd3870c1e7c865705200cf6414_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-85353e6e57de74332ffdb3d5cd44caaa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}2 &amp; -2 &amp; -2\\\\[1.1ex]2 &amp; -1 &amp; 0\\\\[1.1ex]4 &amp; -1 &amp; 2 \\end{vmatrix} =0 \\qquad \\begin{vmatrix}2 &amp; -2 &amp; -2\\\\[1.1ex]2 &amp; -1 &amp; 0\\\\[1.1ex]1 &amp; -2 &amp; -3 \\end{vmatrix}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"298\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d33b143e636093057c08fbcd9d91ab54_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}2 &amp; -2 &amp; -2\\\\[1.1ex]4 &amp; -1 &amp; 2\\\\[1.1ex]1 &amp; -2 &amp; -3 \\end{vmatrix} =0 \\qquad \\begin{vmatrix}2 &amp; -1 &amp; 0\\\\[1.1ex]4 &amp; -1 &amp; 2\\\\[1.1ex]1 &amp; -2 &amp; -3 \\end{vmatrix}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"298\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5b4b570b6d9d92b7974b11afbe0939bd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}2 &amp; -2 \\\\[1.1ex]2 &amp; -1 \\end{vmatrix}=2 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"123\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6865ac4ae80c8b5a6eff791a9da5a937_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062c\u0645\u064a\u0639 \u0645\u062d\u062f\u062f\u0627\u062a 3&#215;3 \u0644\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0647\u064a \u0635\u0641\u0631\u060c \u0648\u0644\u0643\u0646 \u0647\u0646\u0627\u0643 \u0645\u062d\u062f\u062f\u0627\u062a 2&#215;2 \u063a\u064a\u0631 \u0635\u0641\u0631\u064a\u0629 \u062f\u0627\u062e\u0644 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0644\u0647\u0627 \u0627\u0644\u0631\u062a\u0628\u0629 2<\/strong> .<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0646\u0637\u0627\u0642 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217;. \u0633\u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u062f\u0627\u0626\u0645\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u0645\u062f\u0649 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A\u060c \u0648\u0627\u0644\u062a\u064a \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0647\u064a 2\u060c \u0644\u0630\u0644\u0643 \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0645\u062d\u062f\u062f 3\u00d73 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0625\u0644\u063a\u0627\u0624\u0647 \u0648\u0623\u064a\u0636\u064b\u0627 \u0645\u0642\u062f\u0627\u0631 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0623\u0643\u0645\u0644\u0647\u0627: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d97c98cb8c416b0ce39b18628124923c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A')= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d253c404b2ac9caf3119795e80acfbfb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\displaystyle \\begin{vmatrix}2 &amp; -2 &amp; 5\\\\[1.1ex]2 &amp; -1 &amp;-1\\\\[1.1ex]4 &amp; -1 &amp;3\\end{vmatrix}=22 \\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"170\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8744aa6a413d43832344c6eba827c7e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle det(A')=\\begin{vmatrix}2 &amp; -2 &amp; -2&amp;5\\\\[1.1ex]2 &amp; -1 &amp; 0&amp;-1\\\\[1.1ex]4 &amp; -1 &amp; 2&amp;3\\\\[1.1ex]1 &amp; -2 &amp; -3&amp;6 \\end{vmatrix}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"249\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e8c9889f409b449fd7809f4e02394de2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A')=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062a\u0648\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217; \u0628\u0627\u0644\u0641\u0639\u0644 \u0639\u0644\u0649 3 \u00d7 3 \u0645\u062d\u062f\u062f\u0627\u062a \u0641\u0631\u0639\u064a\u0629 \u063a\u064a\u0631 \u0635\u0641\u0631\u064a\u0629\u060c \u0648\u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 \u0628\u0623\u0643\u0645\u0644\u0647\u0627 \u064a\u0633\u0627\u0648\u064a 0\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0644\u0647\u0627 \u0627\u0644\u0645\u0631\u062a\u0628\u0629 3<\/strong> .<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 2 \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 3\u060c \u0644\u0630\u0627 <strong>\u0641\u0625\u0646 \u0627\u0644\u062e\u0637\u064a\u0646 \u0645\u062a\u0648\u0627\u0632\u064a\u0627\u0646<\/strong> . \u0648\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u0644\u064a\u0633 \u0644\u062f\u064a\u0647\u0645 \u0623\u064a \u0634\u064a\u0621 \u0645\u0634\u062a\u0631\u0643.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-042e97ffdc2f223e6a3ba51d9f942b5d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{orange} \\boxed{\\color{black} \\quad rg(A) = 2 \\neq rg(A')= 3 \\quad \\longrightarrow \\quad \\text{Rectas Paralelas} \\quad \\vphantom{\\Bigl(}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"525\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646\u0647 \u0641\u064a \u0634\u0631\u062d \u0627\u0644\u0637\u0631\u064a\u0642\u0629 (\u0623\u0639\u0644\u0627\u0647) \u0644\u062f\u064a\u0643 \u062c\u062f\u0648\u0644 \u064a\u0644\u062e\u0635 \u062c\u0645\u064a\u0639 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0644\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u062d\u0633\u0628 \u0631\u062a\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646 A \u0648A&#8217;.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u0648\u062c\u062f \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u0644\u0633\u0637\u0631\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u064a\u0646: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b39d8ac101e2b4db7f5a17a3f27066b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases}4x-y+2z=0 \\\\[2ex] x+y+3z-1=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"189\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ddbbfa691034e2f7acd17d6391e9719e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s: \\ \\begin{cases}2x+5y-z-2=0 \\\\[2ex] 2x+3z+1=0 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"197\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u064a\u0643\u0648\u0646 \u0627\u0644\u062e\u0637\u0627\u0646 \u0641\u064a \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0636\u0645\u0646\u064a\u0629)\u060c \u0644\u0630\u0644\u0643 \u0633\u0646\u0633\u062a\u062e\u062f\u0645 \u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u062a\u0631\u062a\u064a\u0628 \u0644\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u0627\u0644\u062e\u0637\u064a\u0646. \u0644\u0630\u0644\u0643 \u0646\u0642\u0648\u0645 \u0628\u0628\u0646\u0627\u0621 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0648\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217; \u0628\u0645\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0644\u062e\u0637\u0648\u0637:<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cfc6a66630bf6a5cc24f5a006db629af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=\\begin{pmatrix}4 &amp; -1 &amp; 2\\\\[1.1ex]1 &amp; 1 &amp; 3\\\\[1.1ex]2 &amp; 5 &amp; -1\\\\[1.1ex]2 &amp; 0 &amp; 3 \\end{pmatrix} \\qquad \\qquad A'=\\begin{pmatrix}4 &amp; -1 &amp; 2&amp;0\\\\[1.1ex]1 &amp; 1 &amp; 3&amp;-1\\\\[1.1ex]2 &amp; 5 &amp; -1&amp;-2\\\\[1.1ex]2 &amp; 0 &amp; 3 &amp;1  \\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"422\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u0645\u062c\u0631\u062f \u0623\u0646 \u0646\u0639\u0631\u0641 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u062a\u064a\u0646\u060c \u0646\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u062d\u0633\u0627\u0628 \u0631\u062a\u0628\u0629 \u0643\u0644 \u0645\u0646\u0647\u0645\u0627. \u0633\u0646\u0642\u0648\u0645 \u0623\u0648\u0644\u0627\u064b \u0628\u062d\u0633\u0627\u0628 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0628\u0648\u0627\u0633\u0637\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-18eb85dd3870c1e7c865705200cf6414_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7a682d947fc58cb847cb2dd60f8772d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix}4 &amp; -1 &amp; 2\\\\[1.1ex]1 &amp; 1 &amp; 3\\\\[1.1ex]2 &amp; 5 &amp; -1 \\end{vmatrix}  = -65 \\bm{\\neq 0}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"179\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-466d66279a42e8aeb422d568e1547ef9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u062d\u062a\u0648\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0639\u0644\u0649 \u0645\u0635\u0641\u0648\u0641\u0629 \u0641\u0631\u0639\u064a\u0629 3\u00d73 \u0645\u062d\u062f\u062f\u0647\u0627 \u063a\u064a\u0631 \u0635\u0641\u0631\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0644\u0647\u0627 \u0627\u0644\u0631\u062a\u0628\u0629 3<\/strong> .<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u062d\u0633\u0628 \u0646\u0637\u0627\u0642 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 A&#8217;. \u0633\u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u062f\u0627\u0626\u0645\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u0623\u0642\u0644 \u0645\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A\u060c \u0648\u0627\u0644\u062a\u064a \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u062a\u0633\u0627\u0648\u064a 3\u060c \u0644\u0630\u0627 \u064a\u0643\u0641\u064a \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 4 \u0623\u0648 \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 3. \u0648\u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u0642\u0645\u0646\u0627 \u0628\u062d\u0644 \u0645\u062d\u062f\u062f \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 4\u00d74 \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0627\u062a (\u0623\u0648 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0627\u0644\u0645\u0633\u0627\u0639\u062f\u0629): <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d97c98cb8c416b0ce39b18628124923c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A')= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fc223e99519a7cc9359cb6e08591e039_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle det(A')=\\begin{vmatrix}4 &amp; -1 &amp; 2&amp;0\\\\[1.1ex]1 &amp; 1 &amp; 3&amp;-1\\\\[1.1ex]2 &amp; 5 &amp; -1&amp;-2\\\\[1.1ex]2 &amp; 0 &amp; 3 &amp;1 \\end{vmatrix} =\" title=\"Rendered by QuickLaTeX.com\" height=\"108\" width=\"234\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ed6f0611953cbd025d6e3bed38994fe1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =4 \\cdot\\begin{vmatrix} 1 &amp; 3&amp;-1\\\\[1.1ex] 5 &amp; -1&amp;-2\\\\[1.1ex] 0 &amp; 3 &amp;1 \\end{vmatrix}-(-1)\\cdot\\begin{vmatrix}1  &amp; 3&amp;-1\\\\[1.1ex]2 &amp; -1 &amp; -2\\\\[1.1ex]2 &amp; 3 &amp;1 \\end{vmatrix}+2\\cdot\\begin{vmatrix}1 &amp; 1 &amp;-1\\\\[1.1ex]2 &amp; 5 &amp; -2\\\\[1.1ex]2 &amp; 0 &amp;1 \\end{vmatrix}-0\\cdot \\begin{vmatrix}1 &amp; 1 &amp; 3\\\\[1.1ex]2 &amp; 5 &amp; -1\\\\[1.1ex]2 &amp; 0 &amp; 3 \\end{vmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"553\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7873f68c97807b541c64943ddddfa4a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =4 \\cdot(-25)+1\\cdot(-21)+2\\cdot 9\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"227\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b1575ce994cf8d65216e53d682fa4403_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =-100-21+18\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"138\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6184cc67c626c38b308144a4114a4de4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle =-103\\bm{\\neq0}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"87\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd9638d9df3f5ccb112e984363d10da6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A')=4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0648\u0633\u0639\u0629 \u0628\u0623\u0643\u0645\u0644\u0647\u0627 \u0647\u0648 \u063a\u064a\u0631 \u0635\u0641\u0631\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0644\u0647\u0627 \u0627\u0644\u0645\u0631\u062a\u0628\u0629 4<\/strong> .<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0628\u062d\u064a\u062b \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 3 \u0648\u0639\u0644\u0649 \u0627\u0644\u0639\u0643\u0633 \u0645\u0646 \u0630\u0644\u0643 \u0641\u0625\u0646 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 A&#8217; \u0645\u0646 \u0627\u0644\u0631\u062a\u0628\u0629 4\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a <strong>\u064a\u062a\u0642\u0627\u0637\u0639 \u0627\u0644\u062e\u0637\u0627\u0646<\/strong> \u0639\u0646\u062f \u0646\u0642\u0637\u0629 \u0645\u0627.<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-449445957cebd657da5bda15f232ee56_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{orange} \\boxed{\\color{black} \\quad rg(A) = 3 \\neq rg(A')= 4 \\quad \\longrightarrow \\quad \\text{Rectas se cruzan} \\quad \\vphantom{\\Bigl(}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"527\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062a\u0630\u0643\u0631 \u0623\u0646\u0647 \u0641\u064a \u0634\u0631\u062d \u0627\u0644\u0625\u062c\u0631\u0627\u0621 (\u0623\u0639\u0644\u0627\u0647) \u0644\u062f\u064a\u0643 \u062c\u062f\u0648\u0644 \u0628\u0647 \u062c\u0645\u064a\u0639 \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0645\u062d\u062a\u0645\u0644\u0629 \u0644\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0628\u064a\u0646 \u0633\u0637\u0631\u064a\u0646 \u0648\u0641\u0642\u064b\u0627 \u0644\u0631\u062a\u0628 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0627\u062a A \u0648A&#8217;.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u062e\u0637\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0641\u064a R3). \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0647\u0648 \u064a\u0634\u0631\u062d \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0645\u0648\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0628\u064a\u0646 \u062e\u0637\u064a\u0646 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0637\u0631\u064a\u0642\u062a\u064a\u0646 \u0627\u0644\u0645\u0645\u0643\u0646\u062a\u064a\u0646: \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u0646\u0637\u0627\u0642\u0627\u062a \u0623\u0648 \u0645\u0646 \u0646\u0642\u0637\u0629 \u0648\u0645\u062a\u062c\u0647 \u0644\u0643\u0644 \u062e\u0637. \u0633\u062a\u062a\u0645\u0643\u0646 \u0623\u064a\u0636\u064b\u0627 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629. \u0645\u0627 \u0627\u0644\u0645\u0648\u0627\u0636\u0639 \u0627\u0644\u0646\u0633\u0628\u064a\u0629 \u0644\u062e\u0637\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621\u061f \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629\u060c \u0639\u0646\u062f &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d9%88%d8%b6%d8%b9-%d8%a7%d9%84%d9%86%d8%b3%d8%a8%d9%8a-%d9%84%d8%ae%d8%b7%d9%8a%d9%86-%d9%81%d9%8a-%d8%a7%d9%84%d9%81%d8%b6%d8%a7%d8%a1-r3-%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%aa\/\"> <span class=\"screen-reader-text\">\u0627\u0644\u0645\u0648\u0642\u0639 \u0627\u0644\u0646\u0633\u0628\u064a \u0644\u062e\u0637\u064a\u0646 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621<\/span> \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[15],"tags":[],"class_list":["post-251","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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