{"id":247,"date":"2023-07-10T14:29:46","date_gmt":"2023-07-10T14:29:46","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a7%d8%aa-%d8%a7%d9%84%d8%a8%d8%a7%d8%b1%d8%a7%d9%85%d8%aa%d8%b1%d9%8a%d8%a9-%d9%84%d9%84%d8%b7%d8%a7%d8%a6%d8%b1%d8%a9\/"},"modified":"2023-07-10T14:29:46","modified_gmt":"2023-07-10T14:29:46","slug":"%d8%a7%d9%84%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a7%d8%aa-%d8%a7%d9%84%d8%a8%d8%a7%d8%b1%d8%a7%d9%85%d8%aa%d8%b1%d9%8a%d8%a9-%d9%84%d9%84%d8%b7%d8%a7%d8%a6%d8%b1%d8%a9","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a7%d8%aa-%d8%a7%d9%84%d8%a8%d8%a7%d8%b1%d8%a7%d9%85%d8%aa%d8%b1%d9%8a%d8%a9-%d9%84%d9%84%d8%b7%d8%a7%d8%a6%d8%b1%d8%a9\/","title":{"rendered":"\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \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\u0627 \u0647\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u062e\u0637\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628\u0647\u0627 (\u0627\u0644\u0635\u064a\u063a\u0629). \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \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%bfque-son-las-ecuaciones-parametricas-de-un-plano\"><\/span> \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \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\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649<\/strong> \u0647\u064a \u0645\u0639\u0627\u062f\u0644\u0627\u062a \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\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\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-las-ecuaciones-parametricas-del-plano\"><\/span> \u0635\u064a\u0627\u063a\u0629 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u062e\u0637\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\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\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-3f74da212d3f5f1c3a3002d71a4bed96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}x=P_x + \\lambda \\text{u}_x + \\mu \\text{v}_x \\\\[1.7ex]  y=P_y + \\lambda  \\text{u}_y + \\mu \\text{v}_y\\\\[1.7ex] z=P_z + \\lambda\\text{u}_z + \\mu \\text{v}_z \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"167\" style=\"vertical-align: 0px;\"><\/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\"> \u0645\u0646 \u0627\u0644\u0645\u0647\u0645 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0645\u062a\u062c\u0647\u0627 \u0627\u0644\u0627\u062a\u062c\u0627\u0647 \u0644\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629 \u0645\u0633\u062a\u0642\u0644\u064a\u0646 \u062e\u0637\u064a\u064b\u0627\u060c \u0623\u064a \u0623\u0646 \u0644\u0647\u0645\u0627 \u0627\u062a\u062c\u0627\u0647\u064b\u0627 \u0645\u062e\u062a\u0644\u0641\u064b\u0627 (\u063a\u064a\u0631 \u0645\u062a\u0648\u0627\u0632\u064a). \u0648\u0625\u0644\u0627 \u0641\u0625\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0623\u0639\u0644\u0627\u0647 \u0644\u0646 \u062a\u0645\u062b\u0644 \u0623\u064a \u062e\u0637\u0629. <\/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=\"\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u0637\u0627\u0626\u0631\u0629\" class=\"wp-image-2443\" width=\"404\" height=\"142\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\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\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629\u060c \u0647\u0646\u0627\u0643 \u0637\u0631\u0642 \u0623\u062e\u0631\u0649 \u0644\u0644\u062a\u0639\u0628\u064a\u0631 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a \u0639\u0646 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 (\u0641\u064a R3)\u060c \u0645\u062b\u0644 <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\/\">\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0639\u0627\u0645\u0629<\/a> . \u0648\u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0631\u0627\u0628\u0637 \u062a\u062c\u062f \u0635\u064a\u063a\u062a\u0647\u0627 \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628\u0647\u0627 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u062e\u0637\u0629 \u0648\u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u062f\u0631\u064a\u0628\u0627\u062a \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-hallar-las-ecuaciones-parametricas-de-un-plano\"><\/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\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\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 \u0645\u0627 \u0647\u064a \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\u060c \u062f\u0639\u0648\u0646\u0627 \u0646\u0631\u0649 \u0643\u064a\u0641 \u064a\u062a\u0645 \u062d\u0633\u0627\u0628\u0647\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \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\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\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-b3f0118e7d45cb9daa5eb13da519c4c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1,3,2)\" 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-181eea061c4ba593347d9a9418e929f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}=(2,0,-1)\" 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-1902a5430dccdf4883ac68065ccaad61_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}=(4,2,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"88\" 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\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u062e\u0637\u0629\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-46f87775f11f01a59c70aa3ee864aebe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}x=P_x + \\lambda \\text{u}_x + \\mu \\text{v}_x \\\\[1.7ex] y=P_y + \\lambda \\text{u}_y + \\mu \\text{v}_y\\\\[1.7ex] z=P_z + \\lambda\\text{u}_z + \\mu \\text{v}_z \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"167\" style=\"vertical-align: 0px;\"><\/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 \u0627\u062a\u062c\u0627\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-501ec8b26b4d88ebe95abd3ca7e7fe44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}x=1 + \\lambda \\cdot 2 + \\mu \\cdot 4 \\\\[1.7ex] y=3+ \\lambda \\cdot 0 + \\mu \\cdot 2\\\\[1.7ex] z=2 + \\lambda\\cdot (-1)+ \\mu \\cdot 3\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"190\" 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-0e8517084217ee5519c428b598f2d7f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}\\bm{x=1 + 2\\lambda + 4\\mu } \\\\[1.7ex] \\bm{y=3 + 2\\mu}\\\\[1.7ex] \\bm{z=2 -\\lambda+ 3\\mu} \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"138\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"como-pasar-de-la-ecuacion-vectorial-de-un-plano-a-ecuaciones-parametricas\"><\/span> \u0643\u064a\u0641\u064a\u0629 \u0627\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0625\u0644\u0649 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629<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\u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0648\u0647\u064a \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649. \u0623\u062f\u0646\u0627\u0647 \u064a\u0645\u0643\u0646\u0643 \u0631\u0624\u064a\u0629 \u0627\u0644\u0639\u0631\u0636 \u0627\u0644\u062a\u0648\u0636\u064a\u062d\u064a.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u062f\u0639 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0623\u064a \u0645\u0633\u062a\u0648\u0649 \u062a\u0643\u0648\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-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:right;direction:rtl\"> \u0646\u062d\u0646 \u0646\u0639\u0645\u0644 \u0648\u0646\u0646\u0641\u0630 \u0623\u0648\u0644\u0627\u064b \u0645\u0646\u062a\u062c\u0627\u062a \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0628\u0648\u0627\u0633\u0637\u0629 \u0627\u0644\u0643\u0645\u064a\u0627\u062a \u0627\u0644\u0642\u064a\u0627\u0633\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-9eb7c00ddf8ba235e3698c85a0f23db0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=(P_x,P_y,P_z)+ (\\lambda\\text{u}_x,\\lambda\\text{u}_y,\\lambda\\text{u}_z) +(\\mu\\text{v}_x,\\mu\\text{v}_y,\\mu\\text{v}_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"440\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0639\u062f\u064a\u0646 \u0646\u0636\u064a\u0641 \u0627\u0644\u0645\u0643\u0648\u0646\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-e3ff52d13a3d4400800b0f72148f99c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=(P_x+\\lambda \\text{u}_x + \\mu \\text{v}_x,P_y+\\lambda \\text{u}_y + \\mu \\text{v}_y,P_z+\\lambda \\text{u}_z + \\mu \\text{v}_z)\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"467\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u064b\u0627 \u0646\u062d\u0635\u0644 \u0639\u0644\u0649 \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 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0633\u062a\u064a\u0639\u0627\u0628 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u0627\u0644\u0645\u0642\u0627\u0628\u0644\u0629 \u0644\u0643\u0644 \u0645\u062a\u063a\u064a\u0631 \u0639\u0644\u0649 \u062d\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-46f87775f11f01a59c70aa3ee864aebe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}x=P_x + \\lambda \\text{u}_x + \\mu \\text{v}_x \\\\[1.7ex] y=P_y + \\lambda \\text{u}_y + \\mu \\text{v}_y\\\\[1.7ex] z=P_z + \\lambda\\text{u}_z + \\mu \\text{v}_z \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"167\" style=\"vertical-align: 0px;\"><\/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\u064a\u0646 \u0623\u0639\u0644\u0627\u0647\u060c \u0641\u0625\u0646 \u0625\u064a\u062c\u0627\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\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-ecuaciones-parametricas-del-plano\"><\/span> \u062d\u0644 \u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649<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\"> \u062a\u062d\u062f\u064a\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \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-490c9a9e1ad20441fc3e4e552562da06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}=(2,1,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"89\" 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-e0c8787181ac89109302dca999a33418_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(3,2,-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-6b15174216dceaaf397f378acb645116_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(-2,-1,1).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" 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-42b4f718ed5e9e490fb0129949f8f694_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B - A = (-2,-1,1) - (3,2,-1) = (-5,-3,2)\" 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\"> \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 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \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-f5adabb85c9285653d6b638f7c48ba50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}x=P_x + \\lambda \\text{u}_x + \\mu \\text{v}_x \\\\[1.7ex] y=P_y + \\lambda \\text{u}_y + \\mu \\text{v}_y \\\\[1.7ex] z=P_z + \\lambda\\text{u}_z + \\mu \\text{v}_z \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"167\" style=\"vertical-align: 0px;\"><\/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-ecedfca92c24d2754bcca977f2f30e76_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}x=3 + \\lambda \\cdot 2+ \\mu \\cdot (-5) \\\\[1.7ex] y=2 + \\lambda \\cdot 1 + \\mu \\cdot (-3) \\\\[1.7ex] z=(-1) + \\lambda\\cdot 5 + \\mu \\cdot 2 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"190\" 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-c67219e6157433f05d410c0aefb05f05_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}\\bm{x=3 +2 \\lambda-5\\mu } \\\\[1.7ex] \\bm{y=2 + \\lambda-3 \\mu } \\\\[1.7ex] \\bm{z=-1 + 5\\lambda + 2\\mu } \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"151\" 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\">\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\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\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-df564519d92ccbe87c5500460231d2b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(4,1,0) \\qquad B(2,-3,-1) \\qquad C(1,5,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"308\" 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\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\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-14d7f4f29cbdc14a69357bf1b8f29b4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B - A = (2,-3,-1) - (4,1,0) = (-2,-4,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"406\" 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-0a33c0974226c3e3c0a51de22c0b8b38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AC} = C - A = (1,5,3) - (4,1,0) = (-3,4,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"350\" 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 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0646\u0637\u0628\u0642 \u0635\u064a\u063a\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:<\/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-f5adabb85c9285653d6b638f7c48ba50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}x=P_x + \\lambda \\text{u}_x + \\mu \\text{v}_x \\\\[1.7ex] y=P_y + \\lambda \\text{u}_y + \\mu \\text{v}_y \\\\[1.7ex] z=P_z + \\lambda\\text{u}_z + \\mu \\text{v}_z \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"167\" style=\"vertical-align: 0px;\"><\/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-f57edaf8a85108cffb796470ffca8484_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}x=4 + \\lambda \\cdot (-2)+ \\mu \\cdot (-3) \\\\[1.7ex] y=1 + \\lambda \\cdot (-4) + \\mu \\cdot 4 \\\\[1.7ex] z=0 + \\lambda\\cdot (-1) + \\mu \\cdot 3 \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"218\" 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-4cab5ddc074bd7df6849d71854207cf5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}\\bm{x=4 -2 \\lambda-3\\mu } \\\\[1.7ex] \\bm{y=1-4 \\lambda+4 \\mu } \\\\[1.7ex] \\bm{z=-\\lambda + 3\\mu } \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"138\" 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 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u062d\u0633\u0628 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0645\u062d\u062f\u062f \u0628\u0648\u0627\u0633\u0637\u0629 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \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-01df6ae373f0d460332985a54715ca88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=(0,-1,5)+\\lambda (6,1,-2) + \\mu (1,-1,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"354\" 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\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0625\u0644\u0649 \u0645\u0639\u0627\u062f\u0644\u0629 \u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629\u060c \u0639\u0644\u064a\u0643 \u0627\u0644\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u0627\u0644\u0625\u062d\u062f\u0627\u062b\u064a\u0627\u062a \u062b\u0645 \u062d\u0644 \u0643\u0644 \u0645\u062a\u063a\u064a\u0631 \u0639\u0644\u0649 \u062d\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-01df6ae373f0d460332985a54715ca88_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=(0,-1,5)+\\lambda (6,1,-2) + \\mu (1,-1,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"354\" 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-0b2bc3ea152efd43fbb9a16f7d1c73b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=(0,-1,5)+(6\\lambda,\\lambda,-2\\lambda) + (\\mu,-\\mu,3\\mu)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"370\" 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-8760242bbd8cf85b3d2e7280e1c0a2e5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x,y,z)=(6\\lambda+\\mu,-1+\\lambda-\\mu,5-2\\lambda+3\\mu)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"339\" 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-381b1ceea87f332904ae69a566ecd1af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}\\bm{x=6\\lambda+\\mu } \\\\[1.7ex] \\bm{y=-1+\\lambda-\\mu} \\\\[1.7ex] \\bm{z=5-2\\lambda+3\\mu } \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"137\" 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\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\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-624f315685b292c4bb05e9cb4b931a97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} x=1+t \\\\[1.7ex] y=2-3t\\\\[1.7ex] z=4+2t \\end{cases} \\qquad \\qquad s: \\ \\frac{x-4}{2} = \\frac{y+3}{2}= \\frac{z-2}{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"424\" 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\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\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\u062a\u062c\u0627\u0647 \u0648\u0646\u0642\u0637\u0629 \u0639\u0644\u0649 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. \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-6b40bdea86f773b36fb40078fb4ddf23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{r} =(1,-3,2)\" 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\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 \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\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-d565383a925076ae118032f7b9b62f7f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1,2,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"69\" 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-a8f571b217df7a6bbe833d706091457a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{s} =(2,2,-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\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u062e\u0637\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-f5adabb85c9285653d6b638f7c48ba50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}x=P_x + \\lambda \\text{u}_x + \\mu \\text{v}_x \\\\[1.7ex] y=P_y + \\lambda \\text{u}_y + \\mu \\text{v}_y \\\\[1.7ex] z=P_z + \\lambda\\text{u}_z + \\mu \\text{v}_z \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"167\" 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-c81f4d8e5aa907f111b3389d5137736e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}x=1 + \\lambda \\cdot 1+ \\mu \\cdot 2 \\\\[1.7ex] y=2 + \\lambda \\cdot (-3) + \\mu \\cdot 2 \\\\[1.7ex] z=4 + \\lambda\\cdot 2 + \\mu \\cdot (-3) \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" 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-fccd86ac9a3e4084e324d8e5b1071e59_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{cases}\\bm{x=1 + \\lambda+2\\mu } \\\\[1.7ex] \\bm{y=2-3 \\lambda+2 \\mu } \\\\[1.7ex] \\bm{z=4+2\\lambda -3\\mu } \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"137\" 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","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u062e\u0637\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628\u0647\u0627 (\u0627\u0644\u0635\u064a\u063a\u0629). \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \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 \u0647\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \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\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 \u0647\u064a \u0645\u0639\u0627\u062f\u0644\u0627\u062a \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\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\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 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a7%d9%84%d9%85%d8%b9%d8%a7%d8%af%d9%84%d8%a7%d8%aa-%d8%a7%d9%84%d8%a8%d8%a7%d8%b1%d8%a7%d9%85%d8%aa%d8%b1%d9%8a%d8%a9-%d9%84%d9%84%d8%b7%d8%a7%d8%a6%d8%b1%d8%a9\/\"> <span class=\"screen-reader-text\">\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u0637\u0627\u0626\u0631\u0629<\/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-247","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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\u0626\u0631\u0629\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u0645\u0633\u062a\u0648\u0649 - Mathority\" \/>\n<meta property=\"og:description\" content=\"\u0633\u062a\u062c\u062f \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 \u0644\u0644\u062e\u0637\u0629 \u0648\u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628\u0647\u0627 (\u0627\u0644\u0635\u064a\u063a\u0629). \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0630\u0644\u0643\u060c \u0633\u062a\u062a\u0645\u0643\u0646 \u0645\u0646 \u0631\u0624\u064a\u0629 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u062f\u0631\u0628 \u0639\u0644\u0649 \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 \u0647\u064a \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0627\u0645\u062a\u0631\u064a\u0629 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