{"id":246,"date":"2023-07-10T14:58:48","date_gmt":"2023-07-10T14:58:48","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a9-%d9%85%d8%aa%d8%ac%d9%87%d8%a9-%d9%84%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%85%d8%b3%d8%aa%d9%88%d9%89\/"},"modified":"2023-07-10T14:58:48","modified_gmt":"2023-07-10T14:58:48","slug":"%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a9-%d9%85%d8%aa%d8%ac%d9%87%d8%a9-%d9%84%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%85%d8%b3%d8%aa%d9%88%d9%89","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a9-%d9%85%d8%aa%d8%ac%d9%87%d8%a9-%d9%84%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%85%d8%b3%d8%aa%d9%88%d9%89\/","title":{"rendered":"\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u0637\u0627\u0626\u0631\u0629"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\">\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0645\u0639\u0627\u062f\u0644\u0629 (\u0635\u064a\u063a\u0629) \u0645\u062a\u062c\u0647 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0648\u0623\u0645\u062b\u0644\u0629 \u062d\u0633\u0627\u0628\u064a\u0629. \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0648\u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649. <\/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%bfque-es-la-ecuacion-vectorial-de-un-plano\"><\/span> \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u0637\u0627\u0626\u0631\u0629\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 <strong>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649<\/strong> \u0647\u064a \u0645\u0639\u0627\u062f\u0644\u0629 \u062a\u0633\u0645\u062d \u0628\u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0623\u064a \u0645\u0633\u062a\u0648\u0649 \u0631\u064a\u0627\u0636\u064a\u064b\u0627. \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0646\u062d\u062a\u0627\u062c \u0641\u0642\u0637 \u0625\u0644\u0649 \u0646\u0642\u0637\u0629 \u0648\u0645\u062a\u062c\u0647\u064a\u0646 \u0645\u0633\u062a\u0642\u0644\u064a\u0646 \u062e\u0637\u064a\u064b\u0627 \u064a\u0646\u062a\u0645\u064a\u0627\u0646 \u0625\u0644\u0649 \u0630\u0644\u0643 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"formula-de-la-ecuacion-vectorial-del-plano\"><\/span> \u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u0637\u0627\u0626\u0631\u0629 <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-106\" style=\";text-align:right;direction:rtl\"><\/div>\n<\/div>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;;text-align:right;direction:rtl\">\n<p style=\"text-align:left;text-align:right;direction:rtl\"> \u062e\u0630 \u0628\u0639\u064a\u0646 \u0627\u0644\u0627\u0639\u062a\u0628\u0627\u0631 \u0627\u0644\u0646\u0642\u0637\u0629 \u0648\u0645\u062a\u062c\u0647\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u0645\u0633\u062a\u0648\u0649:<\/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-cf5d4130501bb01b15aa80f8f80caf1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c} P(P_x,P_y,P_z) \\\\[2ex] \\vv{\\text{u}}=(\\text{u}_x,\\text{u}_y,\\text{u}_z)\\\\[2ex] \\vv{\\text{v}}=(\\text{v}_x,\\text{v}_y,\\text{v}_z)\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"116\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"text-align:left;text-align:right;direction:rtl\"> <strong>\u0635\u064a\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649<\/strong> \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-d80b8a9d79088c24cb1940b2abeb18bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=P+\\lambda \\vv{\\text{u}} + \\mu \\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"178\" 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-78b41d21b63c22ec05d3f93576a897e0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=(P_x,P_y,P_z)+\\lambda (\\text{u}_x,\\text{u}_y,\\text{u}_z) + \\mu (\\text{v}_x,\\text{v}_y,\\text{v}_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"398\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\"text-align:left;;text-align:right;direction:rtl\"> \u0630\u0647\u0628<\/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-2b5c45836864531b8e37025dabadd24a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-461fe1a58a75801541487ddf10d32abd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0647\u0645\u0627 \u0639\u062f\u062f\u0627\u0646 \u0642\u064a\u0627\u0633\u064a\u0627\u0646\u060c \u0623\u064a \u0639\u062f\u062f\u0627\u0646 \u062d\u0642\u064a\u0642\u064a\u0627\u0646.<\/p>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647 \u064a\u0645\u0643\u0646 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0623\u064a \u0646\u0642\u0637\u0629 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0643\u0645\u062c\u0645\u0648\u0639\u0629 \u062e\u0637\u064a\u0629 \u0645\u0646 \u0646\u0642\u0637\u0629 \u0648\u0627\u062d\u062f\u0629 \u0648\u0645\u062a\u062c\u0647\u064a\u0646. <\/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\/equations-planes.webp\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u0645\u0633\u062a\u0648\u0649 xy \u0639\u0644\u0649 \u0627\u0644\u0625\u0646\u062a\u0631\u0646\u062a\" class=\"wp-image-2443\" width=\"404\" height=\"142\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0627\u0644\u0634\u0631\u0637 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0644\u0643\u064a \u062a\u062a\u0648\u0627\u0641\u0642 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0645\u0639 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0647\u0648 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0644\u0645\u062a\u062c\u0647\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0633\u062a\u0642\u0644\u0627\u0644 \u062e\u0637\u064a\u060c \u0623\u064a \u0623\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0646 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0643\u0648\u0646\u0627 \u0645\u062a\u0648\u0627\u0632\u064a\u064a\u0646 \u0645\u0639 \u0628\u0639\u0636\u0647\u0645\u0627 \u0627\u0644\u0628\u0639\u0636. \u0622\u062e\u0631.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0636\u0639 \u0641\u064a \u0627\u0639\u062a\u0628\u0627\u0631\u0643 \u0623\u0646\u0647 \u0628\u0635\u0631\u0641 \u0627\u0644\u0646\u0638\u0631 \u0639\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629\u060c \u0647\u0646\u0627\u0643 \u0637\u0631\u0642 \u0623\u062e\u0631\u0649 \u0644\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u062a\u062d\u0644\u064a\u0644\u064a\u064b\u0627\u060c \u0645\u062b\u0644 <a href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a-\u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629-\u0644\u0644\u0637\u0627\u064a\u0654\u0631\u0629\/\">\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649<\/a> \u0648\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 <a href=\"https:\/\/mathority.org\/ar\/\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629-\u0627\u0644\u0639\u0627\u0645\u0629-\u0627\u0654\u0648-\u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a\u0629-\u0627\u0644\u0636\u0645\u0646\u064a\u0629-\u0644\u0644\u0645\u0633\u062a\u0648\u0649\/\">\u0627\u0644\u0636\u0645\u0646\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649<\/a> . \u064a\u0645\u0643\u0646\u0643 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646 \u0643\u0644 \u0646\u0648\u0639 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0627\u0644\u0631\u0648\u0627\u0628\u0637. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-hallar-la-ecuacion-vectorial-de-un-plano\"><\/span> \u0645\u062b\u0627\u0644 \u0644\u0643\u064a\u0641\u064a\u0629 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 <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\"> \u0628\u0639\u062f \u0623\u0646 \u0631\u0623\u064a\u0646\u0627 \u0634\u0631\u062d \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0644\u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062d\u0633\u0627\u0628\u0647\u0627 \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\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0630\u064a \u064a\u0645\u0631 \u0628\u0627\u0644\u0646\u0642\u0637\u0629\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-66c1bcf32c114fa640cf6c3291ec42ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2,0,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"69\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648\u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-742e72027d137839ae3e565d098418f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}=(1,3,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-85abe8a10ab167a3b72ce2048d480c5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}=(5,0,1).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"93\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u062a\u0637\u0628\u064a\u0642 \u0635\u064a\u063a\u062a\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-d80b8a9d79088c24cb1940b2abeb18bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=P+\\lambda \\vv{\\text{u}} + \\mu \\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"178\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0622\u0646 \u0646\u0639\u0648\u0636 \u0628\u0627\u0644\u0646\u0642\u0637\u0629 \u0648\u0643\u0644 \u0645\u062a\u062c\u0647 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\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-e966b1b217e19b857d5945de152312cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(x,y,z)=(2,0,4)+\\lambda (1,3,-2) + \\mu (5,0,1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"326\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u062a\u0631\u0648\u0646 \u0641\u064a \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0641\u0625\u0646 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0623\u0645\u0631 \u0633\u0647\u0644 \u0646\u0633\u0628\u064a\u064b\u0627. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0635\u0628\u062d \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0645\u0639\u0642\u062f\u0629 \u0628\u0639\u0636 \u0627\u0644\u0634\u064a\u0621\u060c \u0644\u0630\u0627 \u0633\u062a\u062c\u062f \u0623\u062f\u0646\u0627\u0647 \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u0628\u0635\u0639\u0648\u0628\u0629 \u0645\u062e\u062a\u0644\u0641\u0629 \u062d\u062a\u0649 \u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u064a\u0647\u0627. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-ecuacion-vectorial-del-plano\"><\/span> \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0637\u0627\u0626\u0631\u0629 \u062a\u0645 \u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644<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\"> \u062d\u062f\u062f \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0630\u064a \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0627\u0644\u0645\u062a\u062c\u0647<\/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-967feca863a9a4d3f1e7f0267f5e75e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}=(0,-2,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648\u064a\u0645\u0631 \u0639\u0628\u0631 \u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 \u0627\u0644\u062a\u0627\u0644\u064a\u062a\u064a\u0646:<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b080bdb2f119700090341574b7bbf489_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(1,3,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0648 <\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3ad5d13132fc818eac77b60b1ac15e13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(2,-1,5).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"89\" 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\"> \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u062a\u062d\u062a\u0627\u062c \u0625\u0644\u0649 \u0646\u0642\u0637\u0629 \u0648\u0645\u062a\u062c\u0647\u064a\u0646\u060c \u0648\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0644\u062f\u064a\u0646\u0627 \u0645\u062a\u062c\u0647 \u0648\u0627\u062d\u062f \u0641\u0642\u0637\u060c \u0644\u0630\u0627 \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u0625\u064a\u062c\u0627\u062f \u0645\u062a\u062c\u0647 \u0622\u062e\u0631 \u0645\u0648\u062c\u0647 \u0644\u0644\u0645\u0633\u062a\u0648\u0649. \u0644\u0644\u0642\u064a\u0627\u0645 \u0628\u0630\u0644\u0643\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u062a\u062c\u0647 \u0627\u0644\u0630\u064a \u064a\u062d\u062f\u062f \u0646\u0642\u0637\u062a\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649:<\/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-b85ba6303c469618bd0d69f560c11535_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B - A = (2,-1,5) - (1,3,-1) = (1,-4,6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"379\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0628\u0639\u062f \u0623\u0646 \u0639\u0631\u0641\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0645\u062a\u062c\u0647\u064a \u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0648\u0646\u0642\u0637\u0629\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0633\u062a\u062e\u062f\u0645 \u0635\u064a\u063a\u0629 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u0645\u0633\u062a\u0648\u0649:<\/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-d80b8a9d79088c24cb1940b2abeb18bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=P+\\lambda \\vv{\\text{u}} + \\mu \\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"178\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u0639\u0648\u0636 \u0628\u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0646 \u0648\u0625\u062d\u062f\u0649 \u0627\u0644\u0646\u0642\u0637\u062a\u064a\u0646 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\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-941c8d43b51f4c2f838a0ef55b1f87fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(x,y,z)=(1,3,-1)+\\lambda (0,-2,3) + \\mu (1,-4,6)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"354\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\"> \u0623\u0648\u062c\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0630\u064a \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062b\u0644\u0627\u062b \u0627\u0644\u062a\u0627\u0644\u064a\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-c61c59f12a57c3df9dcd45d35e601a65_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(2,-2,1) \\qquad B(1,0,4) \\qquad C(-1,3,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"322\" 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\"> \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0639\u0644\u064a\u0646\u0627 \u0625\u064a\u062c\u0627\u062f \u0645\u062a\u062c\u0647\u064a\u0646 \u0645\u0633\u062a\u0642\u0644\u064a\u0646 \u062e\u0637\u064a\u064b\u0627 \u064a\u0631\u062a\u0628\u0637\u0627\u0646 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649. \u0648\u0644\u0647\u0630\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u062d\u0633\u0627\u0628 \u0645\u062a\u062c\u0647\u064a\u0646 \u0645\u062d\u062f\u062f\u064a\u0646 \u0628\u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062b\u0644\u0627\u062b: <\/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-fabb606f5950c8b864f9c2e67b4ba576_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B - A = (1,0,4) - (2,-2,1) = (-1,2,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"365\" 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-1a4d8bb247e7d07e78d9db6229d7bb5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AC} = C - A = (-1,3,-2) - (2,-2,1) = (-3,5,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"406\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0646 \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u064a\u0646 \u063a\u064a\u0631 \u0645\u062a\u0646\u0627\u0633\u0628\u0629\u060c \u0644\u0630\u0627 \u0641\u0647\u0645\u0627 \u0645\u0633\u062a\u0642\u0644\u0627\u0646 \u062e\u0637\u064a\u064b\u0627 \u0639\u0646 \u0628\u0639\u0636\u0647\u0645\u0627 \u0627\u0644\u0628\u0639\u0636.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u0622\u0646 \u0628\u0639\u062f \u0623\u0646 \u0639\u0631\u0641\u0646\u0627 \u0628\u0627\u0644\u0641\u0639\u0644 \u0645\u062a\u062c\u0647\u064a \u0627\u062a\u062c\u0627\u0647 \u0648\u0646\u0642\u0637\u0629 \u0645\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0641\u0625\u0646\u0646\u0627 \u0646\u0637\u0628\u0642 \u0635\u064a\u063a\u0629 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u0645\u0633\u062a\u0648\u0649:<\/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-d80b8a9d79088c24cb1940b2abeb18bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=P+\\lambda \\vv{\\text{u}} + \\mu \\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"178\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0646\u0639\u0648\u0636 \u0628\u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0646 \u0648\u0625\u062d\u062f\u0649 \u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062b\u0644\u0627\u062b \u0641\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\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-baa213bb98612c8fff5d3830141936a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{(x,y,z)=(2,-2,1)+\\lambda (-1,2,3) + \\mu (-3,5,-3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"368\" style=\"vertical-align: -5px;\"><\/p>\n<\/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\"> \u0627\u062d\u0633\u0628 4 \u0646\u0642\u0627\u0637 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0645\u062d\u062f\u062f \u0628\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0627\u0644\u062a\u0627\u0644\u064a\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-f741afbd4a2497d23e451858c85f24c2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=(0,2,1)+\\lambda (2,-1,4) + \\mu (-1,3,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"340\" 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\"> \u0644\u062d\u0633\u0627\u0628 \u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u0625\u0639\u0637\u0627\u0621 \u0623\u064a \u0642\u064a\u0645\u0629 \u0644\u0644\u0645\u0639\u0627\u0645\u0644\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-2b5c45836864531b8e37025dabadd24a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lambda\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0648<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f057d6a413d6aaa2ff88a679887b506d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu .\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u062d\u062a\u0649 \u0627\u0644\u0622\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-132014e2e535396ec5fbd90f506d9d06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} \\lambda =0 \\\\[2ex] \\mu =0 \\end{array} \\right\\} \\longrightarrow \\ (0,2,1)+0\\cdot (2,-1,4) + 0\\cdot  (-1,3,0)= \\bm{(0,2,1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"473\" 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-203c86c8c4e062be8c995bec8c3cfbd2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} \\lambda =1 \\\\[2ex] \\mu =0 \\end{array} \\right\\} \\longrightarrow \\ (0,2,1)+1\\cdot (2,-1,4) + 0\\cdot (-1,3,0)= \\bm{(2,1,5)}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"473\" 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-6f4a371c0ec352adf59ee80a81086982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} \\lambda =0 \\\\[2ex] \\mu =1 \\end{array} \\right\\} \\longrightarrow \\ (0,2,1)+0\\cdot (2,-1,4) + 1\\cdot (-1,3,0)= \\bm{(-1,5,1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"487\" 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-38353c40eec5b104be40c3e0a0c93d04_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} \\lambda =1 \\\\[2ex] \\mu =1 \\end{array} \\right\\} \\longrightarrow \\ (0,2,1)+1\\cdot (2,-1,4) + 1\\cdot (-1,3,0)= \\bm{(1,4,5)}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"473\" style=\"vertical-align: 0px;\"><\/p>\n<\/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\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0630\u064a \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0627\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-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> \u0648\u064a\u0643\u0648\u0646 \u0645\u0648\u0627\u0632\u064a\u0627 \u0644\u0644\u064a\u0645\u064a\u0646<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-23a7daa116b8874af1538c91f8d239de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0643\u0648\u0646\u0647\u0627 \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-5b06057454aa6047223c595fdb8d60f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} x=4+2t \\\\[1.7ex] y=-1+t\\\\[1.7ex] z=5-4t \\end{cases} \\qquad \\qquad s: \\ \\frac{x-1}{2} = \\frac{y+2}{4}= \\frac{z+1}{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"429\" 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\"> \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0627\u062a\u062c\u0627\u0647\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0639\u0644\u064a\u0646\u0627 \u0645\u0639\u0631\u0641\u0629 \u0645\u062a\u062c\u0647\u064a \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0648\u0646\u0642\u0637\u0629 \u0645\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0645\u0630\u0643\u0648\u0631. \u062a\u062e\u0628\u0631\u0646\u0627 \u0627\u0644\u062a\u0639\u0644\u064a\u0645\u0627\u062a \u0623\u0646\u0647 \u064a\u062d\u062a\u0648\u064a \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> \u0648\u0645\u0646 \u062b\u0645\u060c \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0623\u062e\u0630 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0648\u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0647\u0630\u0627 \u0627\u0644\u062e\u0637 \u0644\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0633\u062a\u0648\u0649. \u0639\u0644\u0627\u0648\u0629 \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u062a\u062e\u0628\u0631\u0646\u0627 \u0627\u0644\u0639\u0628\u0627\u0631\u0629 \u0623\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0645\u0648\u0627\u0632\u064a \u0644\u0644\u062e\u0637 \u0627\u0644\u0645\u0633\u062a\u0642\u064a\u0645<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4cc36ef269909ae645021a09d5e91016_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0644\u0630\u0627 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u064a\u0636\u064b\u0627 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u062a\u062c\u0647 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0647\u0630\u0627 \u0627\u0644\u062e\u0637 \u0641\u064a \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649.<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062d\u0642<\/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> \u064a\u062a\u0645 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646\u0647\u0627 \u0641\u064a \u0634\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0645\u0643\u0648\u0646\u0627\u062a \u0645\u062a\u062c\u0647 \u0627\u062a\u062c\u0627\u0647\u0647\u0627 \u0647\u064a \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u062d\u062f\u0648\u062f \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-40f8b062c79839dcf7f2885a9e1469e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"t:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" 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-9e313a8b4e84e6b176488218f026cc17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r} =(2,1,-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u062f\u064a\u0643\u0627\u0631\u062a\u064a\u0629 \u0644\u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0646\u0641\u0633 \u0627\u0644\u062e\u0637 \u0647\u064a \u0627\u0644\u062d\u062f\u0648\u062f \u0627\u0644\u0645\u0633\u062a\u0642\u0644\u0629 \u0644\u0644\u0645\u0639\u0627\u062f\u0644\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-610ad4575988feaea1215caf1913b014_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(4,-1,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u062e\u0637 \u0645\u0633\u062a\u0642\u064a\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-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> \u062a\u0643\u0648\u0646 \u0639\u0644\u0649 \u0634\u0643\u0644 \u0645\u0639\u0627\u062f\u0644\u0629 \u0645\u062a\u0635\u0644\u0629\u060c \u0628\u062d\u064a\u062b \u062a\u0643\u0648\u0646 \u0645\u0643\u0648\u0646\u0627\u062a \u0645\u062a\u062c\u0647 \u0627\u062a\u062c\u0627\u0647\u0647\u0627 \u0647\u064a \u0645\u0642\u0627\u0645\u0627\u062a \u0627\u0644\u0643\u0633\u0648\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-5fa0ec21ddcb8da0da4286a89b6e2232_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{s} =(2,4,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"101\" 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 \u0641\u0625\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0629 \u0644\u0644\u0637\u0627\u0626\u0631\u0629 \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-f4e01864a3c82e5d4eec6142ac295d11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=P+\\lambda \\vv{r} + \\mu \\vv{s}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" 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\u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u0643\u0648\u0646 \u0642\u0627\u062f\u0631\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0648\u062d\u0644 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u062e\u0627\u0635\u0629 \u0628\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649. \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0644\u0644\u0637\u0627\u0626\u0631\u0629\u061f \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629\u060c \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0647\u064a \u0645\u0639\u0627\u062f\u0644\u0629 \u062a\u0633\u0645\u062d \u0628\u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0623\u064a \u0645\u0633\u062a\u0648\u0649 \u0631\u064a\u0627\u0636\u064a\u064b\u0627. \u0644\u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0646\u062d\u062a\u0627\u062c \u0641\u0642\u0637 \u0625\u0644\u0649 \u0646\u0642\u0637\u0629 \u0648\u0645\u062a\u062c\u0647\u064a\u0646 \u0645\u0633\u062a\u0642\u0644\u064a\u0646 \u062e\u0637\u064a\u064b\u0627 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a9-%d9%85%d8%aa%d8%ac%d9%87%d8%a9-%d9%84%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b5%d9%8a%d8%ba%d8%a9-%d8%a7%d9%84%d9%85%d8%b3%d8%aa%d9%88%d9%89\/\"> <span class=\"screen-reader-text\">\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a 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