{"id":262,"date":"2023-07-10T07:15:20","date_gmt":"2023-07-10T07:15:20","guid":{"rendered":"https:\/\/mathority.org\/ar\/%d9%86%d8%a7%d9%82%d9%84%d8%a7%d8%aa-%d9%85%d8%aa%d8%ad%d8%af-%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%a7%d9%84%d9%85%d8%b3%d8%aa%d9%88%d9%89\/"},"modified":"2023-07-10T07:15:20","modified_gmt":"2023-07-10T07:15:20","slug":"%d9%86%d8%a7%d9%82%d9%84%d8%a7%d8%aa-%d9%85%d8%aa%d8%ad%d8%af-%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%a7%d9%84%d9%85%d8%b3%d8%aa%d9%88%d9%89","status":"publish","type":"post","link":"https:\/\/mathority.org\/ar\/%d9%86%d8%a7%d9%82%d9%84%d8%a7%d8%aa-%d9%85%d8%aa%d8%ad%d8%af-%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%a7%d9%84%d9%85%d8%b3%d8%aa%d9%88%d9%89\/","title":{"rendered":"\u0646\u0627\u0642\u0644\u0627\u062a \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 (\u0623\u0648 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style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629 \u0647\u064a \u0646\u0627\u0642\u0644\u0627\u062a \u062a\u0646\u062a\u0645\u064a \u0625\u0644\u0649 \u0646\u0641\u0633 \u0627\u0644\u0645\u0633\u062a\u0648\u0649.<\/strong><\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0644\u0630\u0644\u0643\u060c \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u0646 \u062f\u0627\u0626\u0645\u064b\u0627 \u0645\u062a\u062d\u062f\u064a\u0646 \u0641\u064a \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0644\u0623\u0646\u0647 \u064a\u0645\u0643\u0646 \u062a\u0634\u0643\u064a\u0644 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0627 \u0644\u0627 \u064a\u0642\u0644 \u0639\u0646 \u0645\u062a\u062c\u0647\u064a\u0646. \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0639\u0646\u062f\u0645\u0627 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\u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0623\u0648 \u0645\u062a\u062d\u062f \u0627\u0644\u0645\u0633\u062a\u0648\u0649\" class=\"wp-image-3133\" width=\"353\" height=\"171\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p style=\";text-align:right;direction:rtl\"> \u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0641\u064a \u0627\u0644\u0631\u0633\u0645 \u0627\u0644\u0628\u064a\u0627\u0646\u064a \u0623\u0639\u0644\u0627\u0647 \u064a\u0645\u0643\u0646\u0643 \u0623\u0646 \u062a\u0631\u0649 \u0623\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-cac24ae79c1e4cbc459f01ed5e4f824e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" 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-391ac2e3ba0b7f327ba5a0edc1ba162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0641\u0647\u064a \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0645\u0639 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636\u060c \u0644\u0623\u0646\u0647\u0627 \u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. \u0648\u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 \u0647\u0630\u064a\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u064a\u0646 \u0644\u064a\u0633\u0627 \u0645\u0633\u062a\u0648\u064a\u064a\u0646 \u0645\u0639 \u0627\u0644\u0645\u062a\u062c\u0647<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b4bbbc56786695092eac40831aee80d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{w}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0644\u0623\u0646\u0647 \u0644\u0627 \u064a\u0645\u0643\u0646 \u062a\u0634\u0643\u064a\u0644 \u0623\u064a \u0645\u0633\u062a\u0648\u0649 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0630\u064a \u064a\u062d\u062a\u0648\u064a \u0639\u0644\u0649 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062b\u0644\u0627\u062b\u0629.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0647\u0630\u0647 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u064a\u0645\u0643\u0646\u0646\u0627 \u0623\u0646 \u0646\u0633\u062a\u0646\u062a\u062c \u0623\u0646\u0647 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0647\u0646\u0627\u0643 3 \u0645\u062a\u062c\u0647\u0627\u062a \u0623\u0648 \u0623\u0643\u062b\u0631 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0641\u0625\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062a\u064a \u062a\u062d\u062f\u062f \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 (\u0628\u062f\u0627\u064a\u0629 \u0648\u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0645\u062a\u062c\u0647) \u0647\u064a \u0623\u064a\u0636\u064b\u0627 \u0646\u0642\u0627\u0637 \u0645\u0633\u062a\u0648\u064a\u0629. <\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"%c2%bfcuando-los-vectores-son-coplanarios\"><\/span> \u0645\u062a\u0649 \u062a\u0643\u0648\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \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\u0645\u062a\u062c\u0647\u0627\u062a \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)\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u062a\u0643\u0648\u0646 \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 \u064a\u062d\u062a\u0631\u0645 \u0623\u0643\u062b\u0631 \u0645\u0646 \u0645\u062a\u062c\u0647\u064a\u0646 \u0639\u0644\u0627\u0642\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0645\u0634\u062a\u0631\u0643.<\/p>\n<p style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0647\u0646\u0627\u0643 \u0639\u062f\u0629 \u0637\u0631\u0642 \u0644\u062a\u062d\u062f\u064a\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062b\u0644\u0627\u062b\u0629 \u0646\u0648\u0627\u0642\u0644 \u0623\u0648 \u0623\u0643\u062b\u0631 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646 \u062d\u0627\u0635\u0644 \u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0645\u062e\u062a\u0644\u0637 \u0644\u062b\u0644\u0627\u062b\u0629 \u0645\u062a\u062c\u0647\u0627\u062a (\u0623\u0648 \u062d\u0627\u0635\u0644 \u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u062b\u0644\u0627\u062b\u064a) \u064a\u0633\u0627\u0648\u064a \u0627\u0644\u0635\u0641\u0631\u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. \u0625\u0630\u0627 \u0644\u0645 \u062a\u0643\u0646 \u0648\u0627\u0636\u062d\u064b\u0627 \u062a\u0645\u0627\u0645\u064b\u0627 \u0628\u0634\u0623\u0646 \u0643\u064a\u0641\u064a\u0629 \u062d\u0633\u0627\u0628 \u0647\u0630\u0647 \u0627\u0644\u0639\u0645\u0644\u064a\u0629\u060c \u0623\u0646\u0635\u062d\u0643 \u0628\u0625\u0644\u0642\u0627\u0621 \u0646\u0638\u0631\u0629 \u0639\u0644\u0649 <a href=\"https:\/\/mathority.org\/ar\/\u0627\u0654\u0645\u062b\u0644\u0629-\u0639\u0644\u0649-\u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a-\u0627\u0644\u0645\u062e\u062a\u0644\u0637\u0629-\u0644\u062b\u0644\u0627\u062b\u0629-\u0646\u0627\u0642\u0644\u0627\u062a-\u0627\u0654\u0648-\u0627\u0644\u0645\u0646\u062a\u062c\u0627\u062a-\u0627\u0644\u0639\u062f\u062f\u064a\u0629-\u0627\u0644\u062b\u0644\u0627\u062b\u064a\u0629\/\">\u0645\u0627 \u0647\u0648 \u062d\u0627\u0635\u0644 \u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0645\u062e\u062a\u0644\u0637 \u0644\u062b\u0644\u0627\u062b\u0629 \u0646\u0627\u0642\u0644\u0627\u062a<\/a> \u060c \u0633\u062a\u062c\u062f \u0647\u0646\u0627 \u0627\u0644\u0634\u0631\u062d \u0628\u0627\u0644\u0625\u0636\u0627\u0641\u0629 \u0625\u0644\u0649 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u0645\u062d\u0644\u0648\u0644\u0629.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-849b07c1e268c4903e7bd13ef56bcaf3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr] =0\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"92\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646 \u0645\u0646 \u0627\u0644\u0645\u0645\u0643\u0646 \u0627\u0644\u062a\u0639\u0628\u064a\u0631 \u0639\u0646 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a <a href=\"https:\/\/mathority.org\/ar\/\u0645\u062c\u0645\u0648\u0639\u0629-\u062e\u0637\u064a\u0629-\u0645\u0646-\u0627\u0654\u0645\u062b\u0644\u0629-\u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a-\u062a\u0645\u0627\u0631\u064a\u0646-\u0645\u062d\u0644\u0648\u0644\u0629\/\">\u0643\u0645\u062c\u0645\u0648\u0639\u0629 \u062e\u0637\u064a\u0629 \u0645\u0646 \u0645\u062a\u062c\u0647\u064a\u0646\u060c<\/a> \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647\u0627 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u0645\u0645\u0627 \u064a\u0639\u0646\u064a \u0623\u0646 3 \u0646\u0627\u0642\u0644\u0627\u062a \u0623\u0648 \u0623\u0643\u062b\u0631 \u062a\u0643\u0648\u0646 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649 \u0625\u0630\u0627 \u0648\u0641\u0642\u0637 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0645\u0639\u062a\u0645\u062f\u0629 \u062e\u0637\u064a\u064b\u0627. \u0644\u0625\u062b\u0628\u0627\u062a \u0623\u0646 \u062b\u0644\u0627\u062b\u0629 \u0645\u062a\u062c\u0647\u0627\u062a \u0623\u0648 \u0623\u0643\u062b\u0631 \u0639\u0628\u0627\u0631\u0629 \u0639\u0646 \u0645\u0632\u064a\u062c \u062e\u0637\u064a \u0645\u0646 \u0645\u062a\u062c\u0647\u064a\u0646\u060c \u064a\u0643\u0641\u064a \u0623\u0646 \u062a\u0643\u0648\u0646 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u062a\u064a \u062a\u0634\u0643\u0644\u0647\u0627 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u062a\u0633\u0627\u0648\u064a 2.<\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef18656c1a261aa20598fc8f6a587323_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 style=\";text-align:right;direction:rtl\"> \u0645\u0646 \u0627\u0644\u0645\u0647\u0645 \u0623\u0646 \u064a\u0643\u0648\u0646 \u0644\u062f\u064a\u0643 \u0641\u0647\u0645 \u062c\u064a\u062f \u0644\u0645\u0641\u0647\u0648\u0645 <a href=\"https:\/\/mathority.org\/ar\/\u0646\u0627\u0642\u0644\u0627\u062a-\u0645\u0633\u062a\u0642\u0644\u0629-\u0648\u062a\u0639\u062a\u0645\u062f-\u062e\u0637\u064a\u0627-\u0627\u0633\u062a\u0642\u0644\u0627\u0644-\u0627\u0644\u0627\u0639\u062a\u0645\u0627\u062f-\u0627\u0644\u062e\u0637\u064a\/\">\u0627\u0644\u0627\u0639\u062a\u0645\u0627\u062f \u0627\u0644\u062e\u0637\u064a \u0648\u0627\u0644\u0627\u0633\u062a\u0642\u0644\u0627\u0644<\/a> \u060c \u0623\u064a \u0639\u0646\u062f\u0645\u0627 \u064a\u0639\u062a\u0645\u062f \u0646\u0627\u0642\u0644\u0627\u0646 \u062e\u0637\u064a\u064b\u0627 \u0623\u0648 \u0645\u0633\u062a\u0642\u0644\u0627\u0646 \u062e\u0637\u064a\u064b\u0627 \u0648\u0645\u0627 \u064a\u0639\u0646\u064a\u0647 \u0630\u0644\u0643. \u0625\u0630\u0627 \u0644\u0645 \u062a\u0643\u0646 \u0648\u0627\u0636\u062d\u064b\u0627 \u062a\u0645\u0627\u0645\u064b\u0627\u060c \u0641\u0633\u062a\u062c\u062f \u0641\u064a \u0627\u0644\u0631\u0627\u0628\u0637 \u0634\u0631\u062d\u064b\u0627 \u0645\u0641\u0635\u0644\u0627\u064b \u0644\u0644\u063a\u0627\u064a\u0629\u060c \u062d\u064a\u062b \u064a\u0645\u0643\u0646\u0643 \u0623\u064a\u0636\u064b\u0627 \u0645\u0634\u0627\u0647\u062f\u0629 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0648\u0627\u0644\u062a\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629.<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0645\u0639\u0646\u064a\u0629 <a href=\"https:\/\/mathority.org\/ar\/\u0646\u0627\u0642\u0644\u0627\u062a-\u0645\u062a\u0648\u0627\u0632\u064a\u0629\/\">\u0645\u062a\u062c\u0647\u0627\u062a \u0645\u062a\u0648\u0627\u0632\u064a\u0629<\/a> \u060c \u0641\u0647\u0630\u0627 \u064a\u0639\u0646\u064a \u0623\u0646\u0647\u0627 \u0623\u064a\u0636\u064b\u0627 \u0645\u0633\u062a\u0648\u064a\u0629\u060c \u0623\u064a \u0623\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0645\u062a\u0648\u0627\u0632\u064a\u0629 \u0645\u0648\u062c\u0648\u062f\u0629 \u0641\u064a \u0646\u0641\u0633 \u0627\u0644\u0645\u0633\u062a\u0648\u0649. <\/li>\n<\/ul>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4efa93d26f00c6abc1180201f84d126a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\parallel  \\vv{\\text{v}} \\parallel \\vv{\\text{w}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-vectores-coplanarios\"><\/span> \u062d\u0644 \u0645\u0634\u0627\u0643\u0644 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0645\u062a\u062d\u062f\u0629 \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\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \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-16f2fe8ce9dccfd2f5f2b26461ca54e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} = (3,1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"89\" 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-ce008f944cfd9efa2c48d0083a479c89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}} = (2,3,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" 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-d8759d1ec233d68fc5f81dfb3b67beb0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{w}} = (-1,-5,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"119\" 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\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0647\u0630\u0647 3 \u0645\u062a\u062c\u0647\u0627\u062a \u0645\u0633\u062a\u0648\u064a\u0629\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062d\u0633\u0627\u0628 \u062d\u0627\u0635\u0644 \u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0645\u062e\u062a\u0644\u0637 \u0628\u064a\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062b\u0644\u0627\u062b\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-2a1e4b0655c0a3f0165c880f5e64cce0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\bigl[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{\\text{w}}\\bigr]&amp; =\\begin{vmatrix} 3 &amp; 1 &amp; 2 \\\\[1.1ex] 2 &amp; 3 &amp; -1 \\\\[1.1ex] -1 &amp; -5 &amp; 4 \\end{vmatrix} \\\\[2ex] &amp;= 36+1-20+6-15-8 \\\\[2ex] &amp; = \\bm{0} \\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"166\" width=\"271\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u062d\u0627\u0635\u0644 \u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0645\u062e\u062a\u0644\u0637 \u0644\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0647\u0648 \u0635\u0641\u0631\u060c \u0644\u0630\u0627 \u0641\u0625\u0646 <strong>\u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649<\/strong> .<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\" style=\";text-align:right;direction:rtl\"><\/div>\n<h3 class=\"wp-block-heading\" style=\";text-align:right;direction:rtl\"> \u062a\u0645\u0631\u064a\u0646 2<\/h3>\n<p style=\";text-align:right;direction:rtl\"> \u062d\u062f\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \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-a7c6550cedc0ccb79a9bfdebdd9987cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} = (4,-2,6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" 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-730594e946d69d5c0bd66b4b6d0f443c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}} = (-2,1,-3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"116\" 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-a85ef59d300497c53b26259f19df79f6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{w}} = (6,-3,9)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" 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\"> \u0625\u062d\u062f\u0649 \u0627\u0644\u0637\u0631\u0642 \u0644\u0644\u062a\u062d\u0642\u0642 \u0645\u0645\u0627 \u0625\u0630\u0627 \u0643\u0646\u0627 \u0646\u062a\u0639\u0627\u0645\u0644 \u0645\u0639 \u062b\u0644\u0627\u062b\u0629 \u0645\u062a\u062c\u0647\u0627\u062a \u0645\u0633\u062a\u0648\u064a\u0629 \u0647\u064a \u0625\u064a\u062c\u0627\u062f \u062d\u0627\u0635\u0644 \u0627\u0644\u0636\u0631\u0628 \u0627\u0644\u0645\u062e\u062a\u0644\u0637 \u0628\u064a\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062b\u0644\u0627\u062b\u0629. \u0644\u0643\u0646 \u0625\u0630\u0627 \u0646\u0638\u0631\u0646\u0627 \u062c\u064a\u062f\u064b\u0627 \u0625\u0644\u0649 \u0645\u0631\u0643\u0628\u0627\u062a \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a\u060c \u0641\u0633\u0646\u0644\u0627\u062d\u0638 \u0623\u0646\u0647\u0627 \u0645\u062a\u0646\u0627\u0633\u0628\u0629. \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u062b\u0644\u0627\u062b\u0629 \u0645\u062a\u0648\u0627\u0632\u064a\u0629 \u0645\u0639 \u0628\u0639\u0636\u0647\u0627 \u0627\u0644\u0628\u0639\u0636.<\/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-0c5ac41bb15ea29bdc9736f100d1cf74_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\parallel \\vv{\\text{v}} \\parallel \\vv{\\text{w}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0648\u0628\u0645\u0627 \u0623\u0646 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0645\u062a\u0648\u0627\u0632\u064a\u0629\u060c <strong>\u0641\u0647\u064a \u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639 3 \u0645\u062a\u062c\u0647\u0627\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\"> \u062d\u062f\u062f \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0623\u0631\u0628\u0639\u0629 \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-10d37864162c9c1d2eae8f5b7c7df066_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{a}} = (2,1,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"88\" 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-0ab59c17a2058de83ef95ee9b7021751_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{b}} = (1,-1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"103\" 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-1822f69d3738974e93084ea4c454d63f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{c}} = (-1,0,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"115\" 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-f76c271b5fc0fe45fe9b2591346f083f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{d}} = (3,1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"89\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center;text-align:right;direction:rtl\">\n<div class=\"otfm-sp__title\" style=\";text-align:right;direction:rtl\"> <strong>\u0627\u0646\u0638\u0631 \u0627\u0644\u062d\u0644<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\" style=\";text-align:right;direction:rtl\"> \u0644\u0645\u0639\u0631\u0641\u0629 \u0645\u0627 \u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0623\u0631\u0628\u0639\u0629 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\u060c \u064a\u062c\u0628 \u0639\u0644\u064a\u0646\u0627 \u062d\u0633\u0627\u0628 \u0631\u062a\u0628\u0629 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0643\u0648\u0646\u0629 \u0645\u0646 \u062c\u0645\u064a\u0639 \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-8384924c86edafd568505d5f80e1705d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A= \\begin{pmatrix} 2&amp;1&amp;1 \\\\[1.1ex] 1&amp;-1&amp;2 \\\\[1.1ex] -1&amp;0&amp;-1 \\\\[1.1ex] 3&amp;1&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\"> \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629\u060c \u0646\u062d\u0633\u0628 \u0646\u0637\u0627\u0642 \u0627\u0644\u0645\u0635\u0641\u0648\u0641\u0629 \u0627\u0644\u0645\u0630\u0643\u0648\u0631\u0629 \u0628\u0648\u0627\u0633\u0637\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0627\u062a: <\/p>\n<p style=\";text-align:right;direction:rtl\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5db59e1c8bbf94b95483870d47cea1b2_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-2778435c7f53952adf072419af8b268c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} 2&amp;1&amp;1 \\\\[1.1ex] 1&amp;-1&amp;2 \\\\[1.1ex] -1&amp;0&amp;-1 \\end{vmatrix}=0 \\quad  \\begin{vmatrix} 2&amp;1&amp;1 \\\\[1.1ex] 1&amp;-1&amp;2 \\\\[1.1ex]3&amp;1&amp;2\\end{vmatrix} =0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"280\" 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-82f278494a221879cc86da92ab4378c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} 2&amp;1&amp;1 \\\\[1.1ex] -1&amp;0&amp;-1 \\\\[1.1ex] 3&amp;1&amp;2\\end{vmatrix}=0 \\quad \\begin{vmatrix} 1&amp;-1&amp;2 \\\\[1.1ex] -1&amp;0&amp;-1 \\\\[1.1ex] 3&amp;1&amp;2\\end{vmatrix}=0\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"294\" 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-889142ac348173dd6c838633007f2d06_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\begin{vmatrix} 2&amp;1 \\\\[1.1ex] 1&amp;-1\\end{vmatrix}= -3\\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"54\" width=\"136\" 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-ef18656c1a261aa20598fc8f6a587323_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 \u0627\u0644\u062a\u064a \u062a\u0634\u0643\u0644\u0647\u0627 \u062c\u0645\u064a\u0639 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u062a\u0639\u0627\u062f\u0644 2\u060c \u0648\u0628\u0627\u0644\u062a\u0627\u0644\u064a <strong>\u0641\u0625\u0646 \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0623\u0631\u0628\u0639\u0629 \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649<\/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","protected":false},"excerpt":{"rendered":"<p>\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062d\u0629 \u0633\u0648\u0641 \u062a\u062a\u0639\u0644\u0645 \u0645\u0627 \u0647\u064a \u0627\u0644\u0645\u062a\u062c\u0647\u0627\u062a \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 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. \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\u0645\u0627\u0631\u064a\u0646 \u0627\u0644\u062a\u064a \u062a\u0645 \u062d\u0644\u0647\u0627 \u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629. \u0645\u0627 \u0647\u064a \u0646\u0627\u0642\u0644\u0627\u062a \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\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\u0645\u062a\u062c\u0647\u0627\u062a \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\u0645\u062a\u062c\u0647\u0627\u062a &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ar\/%d9%86%d8%a7%d9%82%d9%84%d8%a7%d8%aa-%d9%85%d8%aa%d8%ad%d8%af-%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%a7%d9%84%d9%85%d8%b3%d8%aa%d9%88%d9%89\/\"> <span class=\"screen-reader-text\">\u0646\u0627\u0642\u0644\u0627\u062a \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":[21],"tags":[],"class_list":["post-262","post","type-post","status-publish","format-standard","hentry","category-21"],"yoast_head":"<!-- This site is optimized 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\u062e\u0637\u0648\u0629 \u0628\u062e\u0637\u0648\u0629 \u0644\u0644\u0645\u062a\u062c\u0647\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0648\u064a\u0629. \u0645\u0627 \u0647\u064a \u0646\u0627\u0642\u0644\u0627\u062a \u0645\u062a\u062d\u062f\u0629 \u0627\u0644\u0645\u0633\u062a\u0648\u0649\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\u0645\u062a\u062c\u0647\u0627\u062a \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\u0645\u062a\u062c\u0647\u0627\u062a &hellip; \u0646\u0627\u0642\u0644\u0627\u062a \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\/\u0646\u0627\u0642\u0644\u0627\u062a-\u0645\u062a\u062d\u062f-\u0627\u0644\u0645\u0633\u062a\u0648\u0649-\u0623\u0648-\u0645\u062a\u062d\u062f-\u0627\u0644\u0645\u0633\u062a\u0648\u0649\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-10T07:15:20+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/vecteurs-coplanaires-ou-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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