{"id":263,"date":"2023-07-10T06:51:49","date_gmt":"2023-07-10T06:51:49","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d9%86%d9%82%d8%a7%d8%b7-%d9%85%d8%aa%d8%ad%d8%af%d8%a9-%d8%a7%d9%84%d9%85%d8%b3%d8%aa%d9%88%d9%89-%d8%a3%d9%88-%d9%85%d8%aa%d8%ad%d8%af%d8%a9-%d8%a7\/"},"modified":"2023-07-10T06:51:49","modified_gmt":"2023-07-10T06:51:49","slug":"%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d9%86%d9%82%d8%a7%d8%b7-%d9%85%d8%aa%d8%ad%d8%af%d8%a9-%d8%a7%d9%84%d9%85%d8%b3%d8%aa%d9%88%d9%89-%d8%a3%d9%88-%d9%85%d8%aa%d8%ad%d8%af%d8%a9-%d8%a7","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d9%86%d9%82%d8%a7%d8%b7-%d9%85%d8%aa%d8%ad%d8%af%d8%a9-%d8%a7%d9%84%d9%85%d8%b3%d8%aa%d9%88%d9%89-%d8%a3%d9%88-%d9%85%d8%aa%d8%ad%d8%af%d8%a9-%d8%a7\/","title":{"rendered":"\u0646\u0642\u0627\u0637 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 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id=\"%c2%bfcuando-los-puntos-son-coplanarios\"><\/span> \u0645\u062a\u0649 \u062a\u0643\u0648\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0645\u0633\u062a\u0648\u064a\u0629\u061f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\";text-align:right;direction:rtl\"> \u0643\u0645\u0627 \u0631\u0623\u064a\u0646\u0627 \u0641\u064a \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629)\u060c \u062a\u0643\u0648\u0646 \u0646\u0642\u0637\u062a\u0627\u0646 \u0623\u0648 \u062b\u0644\u0627\u062b \u0646\u0642\u0627\u0637 \u062f\u0627\u0626\u0645\u064b\u0627 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0648\u0644\u0643\u0646 \u0644\u064a\u0633 \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0623\u0646 \u062a\u062d\u062a\u0631\u0645 \u0623\u0643\u062b\u0631 \u0645\u0646 \u062b\u0644\u0627\u062b \u0646\u0642\u0627\u0637 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u0647\u0646\u0627\u0643 \u0637\u0631\u064a\u0642\u062a\u0627\u0646 \u0623\u0633\u0627\u0633\u064a\u062a\u0627\u0646 \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0623\u0631\u0628\u0639 \u0646\u0642\u0627\u0637 \u0623\u0648 \u0623\u0643\u062b\u0631 \u0645\u0633\u062a\u0648\u064a\u0629:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u062d\u062f\u0649 \u0627\u0644\u0637\u0631\u0642 \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0646\u0642\u0627\u0637 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0647\u064a \u0639\u0646 \u0637\u0631\u064a\u0642 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062a\u064a 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\u0627\u0644\u0625\u062c\u0631\u0627\u0621\u0627\u062a \u0627\u0644\u0645\u0648\u062c\u0648\u062f\u0629 \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u062a\u0649 \u064a\u0643\u0648\u0646 2\u060c 3\u060c 4 \u0623\u0648 \u0623\u0643\u062b\u0631 \u0645\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0627.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0647\u0646\u0627\u0643 \u0637\u0631\u064a\u0642\u0629 \u0623\u062e\u0631\u0649 \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0648\u0647\u064a <strong><a href=\"https:\/\/mathority.org\/ar\/\u0645\u0639\u0627\u062f\u0644\u0627\u062a-\u0627\u0644\u0637\u0627\u064a\u0654\u0631\u0629-\u0641\u064a-\u0627\u0644\u0641\u0636\u0627\u0621\/\">\u0625\u064a\u062c\u0627\u062f \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649<\/a><\/strong> \u0627\u0644\u0645\u062a\u0643\u0648\u0646 \u0645\u0646 3 \u0646\u0642\u0627\u0637 \u0641\u064a \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629\u060c \u0648\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0623\u062e\u0631\u0649 \u062a\u062d\u0642\u0642 \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0629\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u0642\u0627\u0637 \u0641\u064a \u0627\u0644\u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0623\u0646 \u0630\u0644\u0643 \u064a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0645\u0634\u0643\u0644\u0629\u060c \u0625\u0644\u0627 \u0623\u0646\u0646\u0627 \u0646\u0648\u0635\u064a \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0637\u0631\u064a\u0642\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0645\u0646 \u0627\u0644\u0637\u0631\u064a\u0642\u062a\u064a\u0646\u060c \u0644\u0623\u0646\u0647 \u0645\u0646 \u0627\u0644\u0623\u0633\u0647\u0644 \u0648\u0627\u0644\u0623\u0633\u0631\u0639 \u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0628\u062f\u0644\u0627\u064b \u0645\u0646 \u062d\u0633\u0627\u0628 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. \u0648\u0644\u0643\u0646 \u0645\u0646 \u0627\u0644\u0648\u0627\u0636\u062d \u0623\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0627 \u062a\u0641\u0636\u0644\u0647. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-puntos-coplanarios\"><\/span> \u062d\u0644 \u0645\u0634\u0627\u0643\u0644 \u0646\u0642\u0637\u0629 \u0645\u062a\u062d\u062f \u0627\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\"> \u062d\u062f\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062b\u0644\u0627\u062b \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0645\u0633\u062a\u0648\u064a\u0629 \u0623\u0645 \u0644\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-9a6d39406adb983eaad3c40c2e5d352c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(3,5,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"69\" 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-a2db4553e8942cf714a98783699f44f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(0,-2,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" 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-93a412e1bb305cd785882fd481852c9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C(4,-1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" 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\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0644\u064a\u0633 \u0645\u0646 \u0627\u0644\u0636\u0631\u0648\u0631\u064a \u0627\u0644\u0642\u064a\u0627\u0645 \u0628\u0623\u064a \u062d\u0633\u0627\u0628\u0627\u062a \u0644\u0623\u0646 <strong>\u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062b\u0644\u0627\u062b \u062a\u0643\u0648\u0646 \u062f\u0627\u0626\u0645\u064b\u0627 \u0645\u0633\u062a\u0648\u064a\u0629<\/strong> \u060c \u0645\u0647\u0645\u0627 \u0643\u0627\u0646\u062a.<\/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\"> \u062d\u062f\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0623\u0631\u0628\u0639 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0645\u062a\u062d\u062f\u0629 \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-adbc97b4e3f0c30a1cd47fb6eea0b566_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(1,2,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"69\" 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-d5ca7779c360bcb8ad9cf4d6b6a455a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(-1,3,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" 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-8910b93724e6f59b070ee26673c9426a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C(1,0,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" 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-6d40d5bb66afe9a8e8445cdb8b7cac0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D(2,5,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" 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\u0643\u064a \u062a\u0643\u0648\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0623\u0631\u0628\u0639 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0628\u0647\u0627 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. \u0644\u0630\u0644\u0643 \u0646\u062d\u0633\u0628 \u0647\u0630\u0647 \u0627\u0644\u0645\u062a\u062c\u0647\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-e7922b55a4e968ce9ef945ddf4b0973e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B- A = (-1,3,4)-(1,2,0) = (-2,1,4)\" 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-8dfa4c2463f3a69890706b0387f1fbc4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AC} = C- A = (1,0,-1)-(1,2,0) = (0,-2,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"378\" 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-e5617a7317e2c18fcb39b3be782e26c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AD} = D- A = (2,5,-3)-(1,2,0) = (1,3,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"367\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062f\u0639\u0648\u0646\u0627 \u0627\u0644\u0622\u0646 \u0646\u0628\u0646\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u064a \u0634\u0643\u0644\u062a\u0647\u0627 \u0627\u0644\u0645\u062a\u062c\u0647\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-873ec750665fdf215a648778d6fcf042_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix} -2&amp;1&amp;4 \\\\[1.1ex]0&amp;-2&amp;-1 \\\\[1.1ex] 1&amp;3&amp;-3\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"164\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0643\u064a \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0645\u0633\u062a\u0648\u064a\u0629\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0645\u0633\u0627\u0648\u064a\u0629 \u0644\u0640 2. \u0648\u0644\u0647\u0630\u0627\u060c \u064a\u062c\u0628 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 3\u00d73 \u0628\u0623\u0643\u0645\u0644\u0647\u0627 \u0645\u0633\u0627\u0648\u064a\u064b\u0627 \u0644\u0644\u0635\u0641\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-18eb85dd3870c1e7c865705200cf6414_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3eadb62f19c07b8a646fe9b2a00f9003_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} -2&amp;1&amp;4 \\\\[1.1ex]0&amp;-2&amp;-1 \\\\[1.1ex] 1&amp;3&amp;-3\\end{vmatrix} =-11\\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"198\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-466d66279a42e8aeb422d568e1547ef9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)=3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0641\u0625\u0646 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0628\u0623\u0643\u0645\u0644\u0647\u0627 \u063a\u064a\u0631 \u0635\u0641\u0631\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0647\u064a 3\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 <strong>\u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0623\u0631\u0628\u0639 \u0644\u064a\u0633\u062a \u0645\u0633\u062a\u0648\u064a\u0629<\/strong> .<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 3<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u0627\u0643\u062a\u0634\u0641 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062e\u0645\u0633 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0645\u062a\u062d\u062f\u0629 \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-083776221bb4167cd960c67da2435d9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(3,1,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"69\" 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-1a43aebd7e3c897898050e7440b0fe9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(0,0,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" 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-59e69260b8e3baacdfd4f673aeb87fba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C(4,-2,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" 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-e862d9c0d7c715b2268b594c199f506a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D(-1,1,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" 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-f361ff1c29cf0a1dba88da8bdb1fb448_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E(2,4,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"69\" 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\u0643\u064a \u062a\u0643\u0648\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062e\u0645\u0633 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u062d\u062f\u062f\u0647\u0627 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. \u0644\u0630\u0644\u0643 \u0646\u062d\u0633\u0628 \u0647\u0630\u0647 \u0627\u0644\u0645\u062a\u062c\u0647\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-9b6a321df8b7b3e37dc31bf0cb9542dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B- A = (0,0,2)-(3,1,1) = (-3,-1,1)\" 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-611bc1c76bcadfe27e2a793128a5a3c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AC} = C- A = (4,-2,-1)-(3,1,1) = (1,-3,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"392\" 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-0ff805267450b865998e62bbc20111b6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AD} = D- A = (-1,1,3)-(3,1,1) = (-4,0,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"366\" 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-494b794700c9c99091abf0fd59523dd8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AE} = E- A = (2,4,3)-(3,1,1) = (-1,3,2)\" 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\"> \u062f\u0639\u0648\u0646\u0627 \u0627\u0644\u0622\u0646 \u0646\u0628\u0646\u064a \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0643\u0648\u0646\u0629 \u0645\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\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-5d571ea172dbf5e6b7d85da6db466eb0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix} -3&amp;-1&amp;1 \\\\[1.1ex]1&amp;-3&amp;-2 \\\\[1.1ex] -4&amp;0&amp;2\\\\[1.1ex] -1&amp;3&amp;2\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"164\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0643\u064a \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0645\u0633\u0627\u0648\u064a\u0629 \u0644\u0640 2. \u0644\u0630\u0644\u0643 \u0646\u062d\u0633\u0628 \u0631\u062a\u0628\u0629 \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0628\u0648\u0627\u0633\u0637\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a \u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0645\u062a\u062d\u062f\u0629 \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-18eb85dd3870c1e7c865705200cf6414_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)= \\ ?\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bec15883d9e3aa5a401afa41cd3992ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} -3&amp;-1&amp;1 \\\\[1.1ex]1&amp;-3&amp;-2 \\\\[1.1ex] -4&amp;0&amp;2\\end{vmatrix} = 0 \\qquad \\begin{vmatrix} -3&amp;-1&amp;1 \\\\[1.1ex]1&amp;-3&amp;-2 \\\\[1.1ex] -1&amp;3&amp;2\\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"326\" 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-cd2f8cfa577e91b74c69e50cc36dfd9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} -3&amp;-1&amp;1 \\\\[1.1ex] -4&amp;0&amp;2\\\\[1.1ex] -1&amp;3&amp;2\\end{vmatrix} = 0 \\qquad \\begin{vmatrix} 1&amp;-3&amp;-2 \\\\[1.1ex] -4&amp;0&amp;2\\\\[1.1ex] -1&amp;3&amp;2\\end{vmatrix} = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"312\" 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-d551dddceb916cc6cf8bf4137903da1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} -3&amp;-1 \\\\[1.1ex] 1&amp;-3\\end{vmatrix} =10\\neq  0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"145\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6865ac4ae80c8b5a6eff791a9da5a937_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"rg(A)=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u062a\u0639\u0627\u062f\u0644 2\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a \u0641\u0625\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0647\u064a \u0645\u0633\u062a\u0648\u064a\u0629 \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a <strong>\u0641\u0625\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062e\u0645\u0633 \u0647\u064a \u0623\u064a\u0636\u0627 \u0645\u0633\u062a\u0648\u064a\u0629.<\/strong><\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062a\u0645\u0631\u064a\u0646 4<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u0633\u0627\u0628 \u0642\u064a\u0645\u0629 \u0627\u0644\u0645\u0639\u0644\u0645\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-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0628\u062d\u064a\u062b \u062a\u0643\u0648\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0623\u0631\u0628\u0639 \u0627\u0644\u062a\u0627\u0644\u064a\u0629 \u0645\u0633\u062a\u0648\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-9483cca4fc2a94923b7c72ed89fc2d5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(3,1,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"69\" 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-a5b113e265916c03a6de0547cfeb380b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B(2,1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" 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-add9ad10fb8badd9de84f8ad1dcfe38d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C(0,-1,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" 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-8d5054a3ce659090916cda61b74f60bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"D(3,2,k)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"71\" 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\u0643\u064a \u062a\u0643\u0648\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0623\u0631\u0628\u0639 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0645\u062d\u062f\u062f\u0629 \u0628\u0647\u0627 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. \u0644\u0630\u0644\u0643 \u0646\u062d\u0633\u0628 \u0647\u0630\u0647 \u0627\u0644\u0645\u062a\u062c\u0647\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-996a90c58f67665e4a68e9dd4de6c718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B- A = (2,1,2)-(3,1,4) = (-1,0,-2)\" 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-ae552981d5729c931f5bbb26c133ecc6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AC} = C- A = (0,-1,3)-(3,1,4) = (-3,-2,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"392\" 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-91aec8ed49541d8c2d8ca0b3b1f8a20d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AD} = D- A = (3,2,k)-(3,1,4) = (0,1,k-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"371\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \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-c3d801efcf5b56dd858890720797d6a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix} -1&amp;0&amp;-2 \\\\[1.1ex] -3&amp;-2&amp;-1 \\\\[1.1ex] 0&amp;1&amp;k-4\\end{pmatrix}\" title=\"Rendered by QuickLaTeX.com\" height=\"85\" width=\"181\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0643\u064a \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0646\u0627\u062a\u062c\u0629 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 2. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u064a\u062c\u0628 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0645\u062d\u062f\u062f \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 3&#215;3 \u0628\u0623\u0643\u0645\u0644\u0647\u0627 0: <\/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-bb7d3b31c10096d100843d781a85b621_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} -1&amp;0&amp;-2 \\\\[1.1ex] -3&amp;-2&amp;-1 \\\\[1.1ex] 0&amp;1&amp;k-4\\end{vmatrix} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"160\" 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-b265559f1f5505b8c40a89f0d69f0c10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle 2k-3 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"82\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0623\u062e\u064a\u0631\u0627\u064b\u060c \u0646\u062d\u0644 \u0627\u0644\u0645\u062c\u0647\u0648\u0644 <\/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-7cf6d2c84f82625cb8a795ee1394251f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" 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-f79b9d3960668149408038b9cb1d1e0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2k =3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"51\" 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-e67be6e218d206fe735f54a6125b3d2a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{k =}\\mathbf{\\cfrac{3}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"41\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<p style=\";text-align:right;direction:rtl\"> \u0623\u062e\u064a\u0631\u064b\u0627\u060c \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0644\u0629 \u0645\u0641\u064a\u062f\u0629 \u0644\u0643\u060c \u0641\u0645\u0646 \u0627\u0644\u0645\u062d\u062a\u0645\u0644 \u0623\u0646\u0643 \u0645\u0647\u062a\u0645 \u0623\u064a\u0636\u064b\u0627 \u0628\u0643\u064a\u0641\u064a\u0629 <a href=\"https:\/\/mathority.org\/ar\/\u0635\u064a\u063a\u0629-\u0627\u0644\u0645\u0633\u0627\u0641\u0629-\u0628\u064a\u0646-\u0646\u0642\u0637\u062a\u064a\u0646-\u0627\u0654\u0645\u062b\u0644\u0629-\u0647\u0646\u062f\u0633\u064a\u0629-\u0648\u062a\u0645\u0627\u0631\u064a\u0646-\u0645\u062d\u0644\u0648\u0644\u0629\/\">\u062d\u0633\u0627\u0628 \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646 (\u0627\u0644\u0635\u064a\u063a\u0629)<\/a> \u060c \u0644\u0623\u0646\u0647 \u0641\u064a \u0628\u0639\u0636 \u0627\u0644\u0623\u062d\u064a\u0627\u0646 \u0641\u064a \u0645\u0633\u0627\u0626\u0644 \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629 \u0646\u0633\u0623\u0644 \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646 \u0646\u0642\u0637\u062a\u064a\u0646. \u0633\u062a\u062c\u062f \u0641\u064a \u0627\u0644\u0635\u0641\u062d\u0629 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0634\u0631\u062d\u064b\u0627 \u0645\u0641\u0635\u0644\u0627\u064b \u0644\u0644\u063a\u0627\u064a\u0629\u060c \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0623\u0645\u062b\u0644\u0629 \u0648\u062a\u0645\u0627\u0631\u064a\u0646 \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0633\u062a\u0643\u062a\u0634\u0641 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0645\u0627 \u0647\u064a \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629) \u0648\u0643\u064a\u0641\u064a\u0629 \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0628\u0639\u0636 \u0627\u0644\u0646\u0642\u0627\u0637 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0623\u0645 \u0644\u0627. \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 \u062d\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629. \u0645\u0627 \u0647\u064a \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629\u061f \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629\u060c \u064a\u0643\u0648\u0646 \u0645\u0639\u0646\u0649 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629) \u0643\u0645\u0627 \u064a\u0644\u064a: \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629 \u0647\u064a \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u0646\u062a\u0645\u064a &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d8%a3%d9%85%d8%ab%d9%84%d8%a9-%d8%b9%d9%84%d9%89-%d9%86%d9%82%d8%a7%d8%b7-%d9%85%d8%aa%d8%ad%d8%af%d8%a9-%d8%a7%d9%84%d9%85%d8%b3%d8%aa%d9%88%d9%89-%d8%a3%d9%88-%d9%85%d8%aa%d8%ad%d8%af%d8%a9-%d8%a7\/\"> <span class=\"screen-reader-text\">\u0646\u0642\u0627\u0637 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 (\u0623\u0648 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649).<\/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-263","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>\u0646\u0642\u0627\u0637 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 (\u0623\u0648 \u0645\u062a\u062d\u062f\u0629 \u0627\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\/\u0623\u0645\u062b\u0644\u0629-\u0639\u0644\u0649-\u0646\u0642\u0627\u0637-\u0645\u062a\u062d\u062f\u0629-\u0627\u0644\u0645\u0633\u062a\u0648\u0649-\u0623\u0648-\u0645\u062a\u062d\u062f\u0629-\u0627\/\" \/>\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0646\u0642\u0627\u0637 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 (\u0623\u0648 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649) - Mathority\" \/>\n<meta property=\"og:description\" content=\"\u0633\u062a\u0643\u062a\u0634\u0641 \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0645\u0627 \u0647\u064a \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629) \u0648\u0643\u064a\u0641\u064a\u0629 \u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0628\u0639\u0636 \u0627\u0644\u0646\u0642\u0627\u0637 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0623\u0645 \u0644\u0627. \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 \u062d\u0644 \u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629. \u0645\u0627 \u0647\u064a \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629\u061f \u0641\u064a \u0627\u0644\u0647\u0646\u062f\u0633\u0629 \u0627\u0644\u062a\u062d\u0644\u064a\u0644\u064a\u0629\u060c \u064a\u0643\u0648\u0646 \u0645\u0639\u0646\u0649 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629 (\u0623\u0648 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629) \u0643\u0645\u0627 \u064a\u0644\u064a: \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629 \u0647\u064a \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u0646\u062a\u0645\u064a &hellip; \u0646\u0642\u0627\u0637 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 (\u0623\u0648 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649). \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0632\u064a\u062f &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ar\/\u0623\u0645\u062b\u0644\u0629-\u0639\u0644\u0649-\u0646\u0642\u0627\u0637-\u0645\u062a\u062d\u062f\u0629-\u0627\u0644\u0645\u0633\u062a\u0648\u0649-\u0623\u0648-\u0645\u062a\u062d\u062f\u0629-\u0627\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-10T06:51:49+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/points-coplanaires.webp\" \/>\n<meta name=\"author\" content=\"\u0641\u0631\u064a\u0642 Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u0643\u064f\u062a\u0628 \u0628\u0648\u0627\u0633\u0637\u0629\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u0641\u0631\u064a\u0642 Mathority\" \/>\n<script type=\"application\/ld+json\" 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