{"id":257,"date":"2023-07-10T09:19:33","date_gmt":"2023-07-10T09:19:33","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%80%d0%b0%d1%81%d1%81%d1%82%d0%be%d1%8f%d0%bd%d0%b8%d0%b5-%d0%bc%d0%b5%d0%b6%d0%b4%d1%83-%d0%b4%d0%b2%d1%83%d0%bc%d1%8f-%d0%bf%d0%b5%d1%80%d0%b5%d1%81%d0%b5%d0%ba%d0%b0%d1%8e%d1%89%d0%b8%d0%bc\/"},"modified":"2023-07-10T09:19:33","modified_gmt":"2023-07-10T09:19:33","slug":"%d1%80%d0%b0%d1%81%d1%81%d1%82%d0%be%d1%8f%d0%bd%d0%b8%d0%b5-%d0%bc%d0%b5%d0%b6%d0%b4%d1%83-%d0%b4%d0%b2%d1%83%d0%bc%d1%8f-%d0%bf%d0%b5%d1%80%d0%b5%d1%81%d0%b5%d0%ba%d0%b0%d1%8e%d1%89%d0%b8%d0%bc","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%80%d0%b0%d1%81%d1%81%d1%82%d0%be%d1%8f%d0%bd%d0%b8%d0%b5-%d0%bc%d0%b5%d0%b6%d0%b4%d1%83-%d0%b4%d0%b2%d1%83%d0%bc%d1%8f-%d0%bf%d0%b5%d1%80%d0%b5%d1%81%d0%b5%d0%ba%d0%b0%d1%8e%d1%89%d0%b8%d0%bc\/","title":{"rendered":"\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430)"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430). \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u043f\u043e\u0442\u0440\u0435\u043d\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445 \u043d\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438. <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-104\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-dos-rectas-que-se-cruzan\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0434\u0432\u0435 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u0435\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u0435?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438, \u043e\u0447\u0435\u043d\u044c \u043a\u0440\u0430\u0442\u043a\u043e \u043d\u0430\u043f\u043e\u043c\u043d\u0438\u043c, \u0432 \u0447\u0435\u043c \u0438\u043c\u0435\u043d\u043d\u043e \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u044d\u0442\u043e\u0442 \u0432\u0438\u0434 \u0432\u0437\u0430\u0438\u043c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043b\u0438\u043d\u0438\u0439: <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><\/div>\n<\/div>\n<p> <strong>\u0414\u0432\u0435 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u0435\u0441\u044f \u043b\u0438\u043d\u0438\u0438, \u0442\u0430\u043a\u0436\u0435 \u043d\u0430\u0437\u044b\u0432\u0430\u0435\u043c\u044b\u0435 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438, \u2014 \u044d\u0442\u043e \u0434\u0432\u0435 \u043e\u0442\u0434\u0435\u043b\u044c\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438, \u0438\u043c\u0435\u044e\u0449\u0438\u0435 \u0440\u0430\u0437\u043d\u044b\u0435 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0438 \u043d\u0435 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u0435\u0441\u044f \u043d\u0438 \u0432 \u043e\u0434\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u0435<\/strong> . \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0434\u0432\u0435 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u0435\u0441\u044f \u043b\u0438\u043d\u0438\u0438 \u043d\u0435 \u043b\u0435\u0436\u0430\u0442 \u0432 \u043e\u0434\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/lignes-dintersection-1.webp\" alt=\"\u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438, \u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442 2 \u044f\u0447\u0435\u0439\u043a\u0438\" class=\"wp-image-2692\" width=\"227\" height=\"223\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u043c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0438 \u043d\u0430\u0434 \u043b\u0438\u043d\u0438\u0435\u0439<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0432\u0441\u0435\u0433\u0434\u0430 \u0432\u043f\u0435\u0440\u0435\u0434\u0438 \u043b\u0438\u043d\u0438\u0438<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> , \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043e\u043d\u0438 \u043d\u0438\u043a\u043e\u0433\u0434\u0430 \u043d\u0435 \u0431\u0443\u0434\u0443\u0442 \u043a\u0430\u0441\u0430\u0442\u044c\u0441\u044f \u0434\u0440\u0443\u0433 \u0434\u0440\u0443\u0433\u0430. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-distancia-entre-dos-rectas-que-se-cruzan\"><\/span> \u041a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><\/div>\n<\/div>\n<p> \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u043c\u0435\u0442\u043e\u0434\u043e\u0432 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435. \u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043c \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0434\u043d\u0443 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u0443, \u0441\u0430\u043c\u0443\u044e \u043f\u0440\u043e\u0441\u0442\u0443\u044e, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0434\u0432\u0430 \u0434\u0440\u0443\u0433\u0438\u0445 \u043c\u0435\u0442\u043e\u0434\u0430 \u0431\u043e\u043b\u0435\u0435 \u0434\u043b\u0438\u0442\u0435\u043b\u044c\u043d\u044b \u0438 \u0441\u043b\u043e\u0436\u043d\u044b \u0438 \u0444\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f \u0440\u0435\u0434\u043a\u043e. <\/p>\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;\">\n<p style=\"text-align:left\"> \u041f\u0443\u0441\u0442\u044c \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0438 \u043b\u044e\u0431\u0430\u044f \u0442\u043e\u0447\u043a\u0430 \u0434\u0432\u0443\u0445 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u0445\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u0445 \u0431\u0443\u0434\u0443\u0442:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-569f8d554a0f3704d247862d0b8ef852_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{u}} \\\\[2ex] A\\end{cases} \\qquad \\qquad s: \\ \\begin{cases} \\vv{\\text{v}} \\\\[2ex] B\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"210\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> <strong>\u0424\u043e\u0440\u043c\u0443\u043b\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438<\/strong> :<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c613737cb66f811b123f886afd479e0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"158\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"> \u0417\u043e\u043b\u043e\u0442\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dbc3e38427d29b2f4444ea732f955500_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"78\" style=\"vertical-align: -5px;\"><\/p>\n<p> &#8212; \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b6be5a59bbf478047e4f3ace338ee48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}, \\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"27\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0438 \u0432\u0435\u043a\u0442\u043e\u0440, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u043c\u044b\u0439 \u0442\u043e\u0447\u043a\u0430\u043c\u0438<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> . \u0418 \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a151f35eca7cc81494de906050e773fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"47\" style=\"vertical-align: -5px;\"><\/p>\n<p> &#8212; \u044d\u0442\u043e \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0430 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0434\u0432\u0443\u0445 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u0445\u0441\u044f \u043b\u0438\u043d\u0438\u0439.<\/p>\n<\/div>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u043d\u0430\u0439\u0442\u0438 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438, \u0432\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0437\u043d\u0430\u0442\u044c, \u043a\u0430\u043a \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c  \u0442\u0440\u043e\u0439\u043d\u043e\u0435 \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435  (\u0438\u043b\u0438 \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0442\u0440\u0435\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432) \u0438  \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435  (\u0438\u043b\u0438 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u0432). \u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u043a\u0430\u043a \u044d\u0442\u043e \u0434\u0435\u043b\u0430\u043b\u043e\u0441\u044c, \u043c\u043e\u0436\u043d\u043e \u043f\u043e \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0438\u043c \u0441\u0441\u044b\u043b\u043a\u0430\u043c, \u0433\u0434\u0435 \u0432\u044b \u043d\u0430\u0439\u0434\u0435\u0442\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u044b, \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-hallar-la-distancia-entre-dos-rectas-que-se-cruzan\"><\/span> \u041f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><\/div>\n<\/div>\n<p> \u0427\u0442\u043e\u0431\u044b \u0432\u044b \u0443\u0432\u0438\u0434\u0435\u043b\u0438, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438, \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0435 \u0440\u0435\u0448\u0438\u043c \u0437\u0430\u0434\u0430\u0447\u0443:<\/p>\n<ul>\n<li> \u041a\u0430\u043a\u043e\u0432\u043e \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438?<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c4b9507f6e33691e0b89d18dac941cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\  \\cfrac{x-1}{2} = \\cfrac{y-2}{4} = \\cfrac{z+2}{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"203\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c6dac5d90c57534aa97625685e0d60fa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s: \\  \\cfrac{x-3}{1} = \\cfrac{y+1}{3} = \\cfrac{z-1}{-2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"203\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0412\u043e-\u043f\u0435\u0440\u0432\u044b\u0445, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0438 \u0442\u043e\u0447\u043a\u0443 \u043d\u0430 \u043a\u0430\u0436\u0434\u043e\u0439 \u043b\u0438\u043d\u0438\u0438. \u0414\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u0432\u044b\u0440\u0430\u0436\u0430\u044e\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8b990f78d0263975304586abbd330167_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{u}} =(2,4,-1) \\\\[2ex] A(1,2,-2) \\end{cases} \\qquad \\qquad s: \\ \\begin{cases} \\vv{\\text{v}}=(1,3,-2) \\\\[2ex] B(3,-1,1)\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"389\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0410 \u0442\u0435\u043f\u0435\u0440\u044c \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u043c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c613737cb66f811b123f886afd479e0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"158\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \u0421 \u043e\u0434\u043d\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b \u0440\u0435\u0448\u0430\u0435\u043c \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0439 \u043f\u0440\u043e\u0434\u0443\u043a\u0442:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3238f24b114cb49bf33dd66bccad1ef3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B - A = (3,-1,1) - (1,2,-2) = (2,-3,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"379\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c52c12945d04e320e688caf714569113_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right| =\\left| \\begin{vmatrix} 2&amp;4&amp;-1 \\\\[1.1ex] 1&amp;3&amp;-2 \\\\[1.1ex] 2&amp;-3&amp;3 \\end{vmatrix}\\right| = \\left| -13 \\right| =13\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"321\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0418, \u0441 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043d\u0430\u0445\u043e\u0434\u0438\u043c \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-71afa7d4b49e542300c12b5263858665_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\times \\vv{\\text{v}} =\\begin{vmatrix} \\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex] 2&amp;4&amp;-1 \\\\[1.1ex] 1&amp;3&amp;-2 \\end{vmatrix}=-5\\vv{i} +3\\vv{j}+2\\vv{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"278\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c940dca4c85f7176555de5861b8f391_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left| \\vv{\\text{u}} \\times \\vv{\\text{v}} \\right| =\\sqrt{5^2+3^2+2^2} = \\sqrt{25+9+4} = \\sqrt{38}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"354\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u043e\u0433\u043e \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b0aac39997c35738e8e84a29ff7c97c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert} = \\cfrac{13}{\\sqrt{38}}= \\bm{2,11}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"273\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-distancias-entre-dos-rectas-que-se-cruzan\"><\/span> \u0420\u0435\u0448\u0435\u043d\u0438\u0435 \u0437\u0430\u0434\u0430\u0447 \u043e \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0438 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c\u0438 \u0434\u0432\u0443\u043c\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438, \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u0432 \u043e\u0434\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-265216663967ca7073a6662f565a3002_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\  \\cfrac{x-1}{2} = \\cfrac{y+1}{1} = \\cfrac{z+3}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"203\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-30a48084a49d510c4d1b3693aa4fe2c7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s: \\  \\cfrac{x-2}{3} = \\cfrac{y-4}{-1} = \\cfrac{z-1}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"203\" style=\"vertical-align: -12px;\"><\/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\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0438 \u0442\u043e\u0447\u043a\u0443 \u043d\u0430 \u043a\u0430\u0436\u0434\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439. \u0414\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u044b \u0432 \u0432\u0438\u0434\u0435 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c9c49971e843f325a05b679decc761fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{u}} =(2,1,2) \\\\[2ex] A(1,-1,-3) \\end{cases} \\qquad \\qquad s: \\ \\begin{cases} \\vv{\\text{v}}=(3,-1,2) \\\\[2ex] B(2,4,1)\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"382\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u0442\u0435\u043f\u0435\u0440\u044c \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c613737cb66f811b123f886afd479e0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"158\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u043c \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0439 \u043f\u0440\u043e\u0434\u0443\u043a\u0442: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7aebfb9bcb2e9dba46ba0e230db85d13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B - A = (2,4,1) - (1,-1,-3) = (1,5,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"365\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7cbbf07d92c61e9042c470cf0998979b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right| =\\left| \\begin{vmatrix} 2&amp;1&amp;2 \\\\[1.1ex] 3&amp;-1&amp;2 \\\\[1.1ex] 1&amp;5&amp;4 \\end{vmatrix}\\right| = \\left| -6 \\right| =6\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"289\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0414\u0430\u043b\u0435\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-81ec8597a0394de740288b45f02f83fe_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\times \\vv{\\text{v}} =\\begin{vmatrix} \\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex] 2&amp;1&amp;2 \\\\[1.1ex] 3&amp;-1&amp;2 \\end{vmatrix}=4\\vv{i} +2\\vv{j}-5\\vv{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"265\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d19b4508ad9d0abf5351ed01e69a9ed1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left| \\vv{\\text{u}} \\times \\vv{\\text{v}} \\right| =\\sqrt{4^2+2^2+(-5)^2} = \\sqrt{16+4+25} = \\sqrt{45}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"393\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u043e\u0433\u043e \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fd922136a96374c8e63c8fd2f9d5b75f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert} = \\cfrac{6}{\\sqrt{45}}= \\bm{0,89}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"274\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u0420\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0439\u0442\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-37d7980f4d797bacd8c0e89700ca8bdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\  \\cfrac{x-2}{3} = \\cfrac{y-4}{1} = \\cfrac{z+2}{-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"203\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-62d204b920ee51734407050000ba292a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s: \\  \\cfrac{x+1}{2} = \\cfrac{y+2}{-2} = \\cfrac{z-1}{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"203\" style=\"vertical-align: -12px;\"><\/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\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0412\u043e-\u043f\u0435\u0440\u0432\u044b\u0445, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0438 \u0442\u043e\u0447\u043a\u0443 \u043d\u0430 \u043a\u0430\u0436\u0434\u043e\u0439 \u043b\u0438\u043d\u0438\u0438. \u0414\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 \u0432\u044b\u0440\u0430\u0436\u0430\u044e\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043d\u0435\u043f\u0440\u0435\u0440\u044b\u0432\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0a143aef931b384aa35ce90cce508e6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{u}} =(3,1,-1) \\\\[2ex] A(2,4,-2) \\end{cases} \\qquad \\qquad s: \\ \\begin{cases} \\vv{\\text{v}}=(2,-2,5) \\\\[2ex] B(-1,-2,1)\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"389\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u0442\u0435\u043f\u0435\u0440\u044c \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c613737cb66f811b123f886afd479e0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"158\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u043c \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u044b\u0439 \u043f\u0440\u043e\u0434\u0443\u043a\u0442: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd6405404fbdff4444a2ef50960ebf92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B - A = (-1,-2,1) - (2,4.-2) = (-3,-6,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"411\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-416d4c694479118b488d6d2ce919065e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right| =\\left| \\begin{vmatrix} 3&amp;1&amp;-1 \\\\[1.1ex] 2&amp;-2&amp;5 \\\\[1.1ex] -3&amp;-6&amp;3 \\end{vmatrix}\\right| = \\left| 69 \\right| =69\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"321\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0414\u0430\u043b\u0435\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c1fdd9699f2e2afea5f0e22d66893d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\times \\vv{\\text{v}} =\\begin{vmatrix} \\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex] 3&amp;1&amp;-1 \\\\[1.1ex] 2&amp;-2&amp;5 \\end{vmatrix}=3\\vv{i} -17\\vv{j}-8\\vv{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"287\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-455404242cbc6840c272528679a162f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left| \\vv{\\text{u}} \\times \\vv{\\text{v}} \\right| =\\sqrt{3^2+(-17)^2+(-8)^2} = \\sqrt{9+289+64} = \\sqrt{362}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"447\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u043d\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043d\u043e\u0433\u043e \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c6c7bf4bd93325deb60c6b700a80d57a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert} = \\cfrac{69}{\\sqrt{362}}= \\bm{3,63}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"283\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-abb15a9455ed23548309cfd3984be869_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\  \\begin{cases} x= -4t \\\\[1.7ex] y=2+3t \\\\[1.7ex] z=-1+t \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"128\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-54a554e7979240b544ab677d73edfbcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle s: \\  (x,y,z)=(4,2,1)+t(3,2,-5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"264\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0438 \u0442\u043e\u0447\u043a\u0443 \u043d\u0430 \u043a\u0430\u0436\u0434\u043e\u0439 \u043f\u0440\u044f\u043c\u043e\u0439. \u043f\u0440\u0430\u0432\u043e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u0432 \u0432\u0438\u0434\u0435 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u0438 \u043b\u0438\u043d\u0438\u0438<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0432 \u0432\u0438\u0434\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d16fe0b303ba2b4875f8306008c4277c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r: \\ \\begin{cases} \\vv{\\text{u}} =(-4,3,1) \\\\[2ex] A(0,2,-1) \\end{cases} \\qquad \\qquad s: \\ \\begin{cases} \\vv{\\text{v}}=(3,2,-5) \\\\[2ex] B(4,2,1)\\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"389\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0410 \u0442\u0435\u043f\u0435\u0440\u044c \u0432\u043e\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u043c\u0441\u044f \u0444\u043e\u0440\u043c\u0443\u043b\u043e\u0439 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c613737cb66f811b123f886afd479e0a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"158\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043c \u0442\u0440\u043e\u0439\u043d\u043e\u0435 \u0441\u043a\u0430\u043b\u044f\u0440\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-229bcf34e10eb9029765f7c135db7378_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB} = B - A = (4,2,-1) - (0,2,1) = (4,0,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"365\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bdaf8f04e3e0eb0f17938c92ce9a69e9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right| =\\left| \\begin{vmatrix} -4&amp;3&amp;1 \\\\[1.1ex] 3&amp;2&amp;-5 \\\\[1.1ex] 4&amp;0&amp;-2 \\end{vmatrix}\\right| = \\left| -34 \\right| =34\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"321\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0414\u0430\u043b\u0435\u0435 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94e9d9a0e4f15b3f0070dc300fbd6a1b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\times \\vv{\\text{v}} =\\begin{vmatrix} \\vv{i}&amp; \\vv{j}&amp; \\vv{k} \\\\[1.1ex] -4&amp;3&amp;1 \\\\[1.1ex] 3&amp;2&amp;-5 \\end{vmatrix}=-17\\vv{i} -17\\vv{j}-17\\vv{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"318\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3c0c1d091a3b9b5686d05dd36e8c6a49_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left| \\vv{\\text{u}} \\times \\vv{\\text{v}} \\right| =\\sqrt{(-17)^2+(-17)^2+(-17)^2} = \\sqrt{289+289+289} = \\sqrt{867}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"519\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0418 \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u043f\u043e\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0441\u043b\u0430\u0433\u0430\u0435\u043c\u043e\u0433\u043e \u0432 \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-24c2bf25fda88fa389cccd30c91db9d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(r,s)=\\cfrac{\\left|\\left[\\vv{\\text{u}},\\vv{\\text{v}},\\vv{AB}\\right]\\right|}{\\lvert \\vv{\\text{u}} \\times \\vv{\\text{v}} \\rvert} = \\cfrac{34}{\\sqrt{867}}= \\bm{1,15}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"282\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430). \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0438 \u043f\u043e\u0442\u0440\u0435\u043d\u0438\u0440\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u043d\u0430 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0445 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445 \u043d\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0434\u0432\u0435 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u0435\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u0435? \u041f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u043a\u0430\u043a \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043b\u0438\u043d\u0438\u044f\u043c\u0438, \u043e\u0447\u0435\u043d\u044c \u043a\u0440\u0430\u0442\u043a\u043e \u043d\u0430\u043f\u043e\u043c\u043d\u0438\u043c, \u0432 \u0447\u0435\u043c \u0438\u043c\u0435\u043d\u043d\u043e \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u044d\u0442\u043e\u0442 \u0432\u0438\u0434 \u0432\u0437\u0430\u0438\u043c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%80%d0%b0%d1%81%d1%81%d1%82%d0%be%d1%8f%d0%bd%d0%b8%d0%b5-%d0%bc%d0%b5%d0%b6%d0%b4%d1%83-%d0%b4%d0%b2%d1%83%d0%bc%d1%8f-%d0%bf%d0%b5%d1%80%d0%b5%d1%81%d0%b5%d0%ba%d0%b0%d1%8e%d1%89%d0%b8%d0%bc\/\"> <span class=\"screen-reader-text\">\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430)<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &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-257","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>\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430) \u2014 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\/ru\/\u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435-\u043c\u0435\u0436\u0434\u0443-\u0434\u0432\u0443\u043c\u044f-\u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\/\" \/>\n<meta property=\"og:locale\" content=\"ru_RU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430) \u2014 Mathority\" \/>\n<meta property=\"og:description\" content=\"\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u0432\u044b \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430). \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b 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\u043f\u0440\u044f\u043c\u044b\u043c\u0438 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430) \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/ru\/\u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435-\u043c\u0435\u0436\u0434\u0443-\u0434\u0432\u0443\u043c\u044f-\u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-10T09:19:33+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/lignes-dintersection-1.webp\" \/>\n<meta name=\"author\" content=\"Mathority \u041a\u043e\u043c\u0430\u043d\u0434\u0430\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c\" \/>\n\t<meta name=\"twitter:data1\" 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\u0432\u0437\u0430\u0438\u043c\u043d\u043e\u0433\u043e \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f &hellip; \u0420\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\u0438\u0441\u044f \u043f\u0440\u044f\u043c\u044b\u043c\u0438 (\u0444\u043e\u0440\u043c\u0443\u043b\u0430) \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;","og_url":"https:\/\/mathority.org\/ru\/\u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435-\u043c\u0435\u0436\u0434\u0443-\u0434\u0432\u0443\u043c\u044f-\u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0449\u0438\u043c\/","article_published_time":"2023-07-10T09:19:33+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/lignes-dintersection-1.webp"}],"author":"Mathority 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