{"id":258,"date":"2023-07-10T08:56:34","date_gmt":"2023-07-10T08:56:34","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%bb%d0%b8%d0%bd%d0%b8%d1%8f%d0%bc%d0%b8-%d0%b2-%d0%bf%d1%80%d0%be%d1%81\/"},"modified":"2023-07-10T08:56:34","modified_gmt":"2023-07-10T08:56:34","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%bb%d0%b8%d0%bd%d0%b8%d1%8f%d0%bc%d0%b8-%d0%b2-%d0%bf%d1%80%d0%be%d1%81","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%bb%d0%b8%d0%bd%d0%b8%d1%8f%d0%bc%d0%b8-%d0%b2-%d0%bf%d1%80%d0%be%d1%81\/","title":{"rendered":"\u0420\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 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 (\u0432 r3)"},"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 \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 \u043b\u0438\u043d\u0438\u044f\u043c\u0438 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 (\u0432 R3), \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e \u043e\u0442 \u0438\u0445 \u0442\u0438\u043f\u0430 (\u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435, \u0441\u0435\u043a\u0443\u0449\u0438\u0435, \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435, \u0441\u0435\u043a\u0443\u0449\u0438\u0435, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438 \u0442. \u0434.). \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 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. <\/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=\"como-calcular-la-distancia-entre-dos-rectas\"><\/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 \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-105\"><\/div>\n<\/div>\n<p> \u0420\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 \u2014 \u044d\u0442\u043e \u043c\u0438\u043d\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u043b\u044e\u0431\u043e\u0439 \u0442\u043e\u0447\u043a\u043e\u0439 \u043e\u0434\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438 \u0438 \u043b\u044e\u0431\u043e\u0439 \u0442\u043e\u0447\u043a\u043e\u0439 \u0434\u0440\u0443\u0433\u043e\u0439 \u043b\u0438\u043d\u0438\u0438. \u042d\u0442\u043e \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0434\u043b\u0438\u043d\u0435 \u043e\u0442\u0440\u0435\u0437\u043a\u0430, \u0438\u0434\u0443\u0449\u0435\u0433\u043e \u043e\u0442 \u043e\u0434\u043d\u043e\u0439 \u043b\u0438\u043d\u0438\u0438 \u043a \u0434\u0440\u0443\u0433\u043e\u0439 \u0438 \u043e\u0434\u043d\u043e\u0432\u0440\u0435\u043c\u0435\u043d\u043d\u043e \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u043e\u0433\u043e \u043e\u0431\u0435\u0438\u043c \u043b\u0438\u043d\u0438\u044f\u043c. <\/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\/distance-entre-deux-lignes-dans-lespace-2.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 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 (\u0432 R3)\" class=\"wp-image-3056\" width=\"387\" height=\"297\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0418\u0442\u0430\u043a, \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u0440\u0430\u0437\u043d\u044b\u043c\u0438 \u043b\u0438\u043d\u0438\u044f\u043c\u0438 \u0432 \u0442\u0440\u0435\u0445\u043c\u0435\u0440\u043d\u043e\u043c (3D) \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0432\u0437\u0430\u0438\u043c\u043d\u043e\u0433\u043e \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u043d\u0438\u043c\u0438:<\/p>\n<ul>\n<li> \u0415\u0441\u043b\u0438 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 <strong>\u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0442<\/strong> \u0438\u043b\u0438 <strong>\u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f<\/strong> , \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 \u0440\u0430\u0432\u043d\u043e \u043d\u0443\u043b\u044e, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u043d\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f (\u043f\u043e \u043a\u0440\u0430\u0439\u043d\u0435\u0439 \u043c\u0435\u0440\u0435) \u0432 \u043e\u0434\u043d\u043e\u0439 \u0442\u043e\u0447\u043a\u0435.<\/li>\n<li> \u041a\u043e\u0433\u0434\u0430 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 <strong>\u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b<\/strong> , \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u0437\u044f\u0442\u044c \u043b\u044e\u0431\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u043d\u0430 \u043e\u0434\u043d\u043e\u0439 \u0438\u0437 \u043b\u0438\u043d\u0438\u0439 \u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u044d\u0442\u043e\u0439 \u0442\u043e\u0447\u043a\u043e\u0439 \u0438 \u0434\u0440\u0443\u0433\u043e\u0439 \u043b\u0438\u043d\u0438\u0435\u0439 (\u043d\u0438\u0436\u0435 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d \u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u044d\u0442\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c).<\/li>\n<li> \u0415\u0441\u043b\u0438 \u0434\u0432\u0435 \u043b\u0438\u043d\u0438\u0438 <strong>\u043f\u0435\u0440\u0435\u0441\u0435\u043a\u0430\u044e\u0442\u0441\u044f<\/strong> \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \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 (\u043f\u043e\u0434\u0440\u043e\u0431\u043d\u043e\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435 \u0441\u043c. \u041d\u0438\u0436\u0435).<\/li>\n<\/ul>\n<p> \u0418\u0442\u0430\u043a, \u0447\u0442\u043e\u0431\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \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, \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0437\u043d\u0430\u0442\u044c, \u043a\u0430\u043a\u043e\u0433\u043e \u0442\u0438\u043f\u0430 \u044d\u0442\u0438 \u043b\u0438\u043d\u0438\u0438, \u0430 \u0437\u0430\u0442\u0435\u043c, \u0432 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043e\u0442 \u0441\u043b\u0443\u0447\u0430\u044f, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0442\u0443 \u0438\u043b\u0438 \u0438\u043d\u0443\u044e \u0444\u043e\u0440\u043c\u0443\u043b\u0443. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432\u0430\u0436\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0432\u044b \u0443\u0436\u0435 \u043d\u0430\u0443\u0447\u0438\u043b\u0438\u0441\u044c  \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u044c \u0432\u0437\u0430\u0438\u043c\u043d\u043e\u0435 \u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u043b\u0438\u043d\u0438\u0439 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435,  \u043f\u0440\u0435\u0436\u0434\u0435 \u0447\u0435\u043c \u043f\u0440\u043e\u0434\u043e\u043b\u0436\u0438\u0442\u044c, \u043d\u043e \u0435\u0441\u043b\u0438 \u0432\u044b \u043d\u0435 \u043f\u043e\u043c\u043d\u0438\u0442\u0435, \u043a\u0430\u043a \u044d\u0442\u043e \u0431\u044b\u043b\u043e \u0441\u0434\u0435\u043b\u0430\u043d\u043e, \u043f\u043e \u0441\u0441\u044b\u043b\u043a\u0435 \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435 \u043e\u0447\u0435\u043d\u044c \u043f\u043e\u043b\u043d\u043e\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435, \u0430 \u0442\u0430\u043a\u0436\u0435 \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. \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-hallar-la-distancia-entre-dos-rectas-paralelas-en-el-espacio\"><\/span> \u041a\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\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043b\u0438\u043d\u0438\u044f\u043c\u0438 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 <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> \u0412\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u0440\u044f\u043c\u044b\u043c\u0438 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 (\u0432 R3) \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u0438\u0442\u0441\u044f \u0442\u0430\u043a \u0436\u0435, \u043a\u0430\u043a \u0438 \u0432 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 (\u0432 R2): <strong>\u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u0437\u044f\u0442\u044c \u0442\u043e\u0447\u043a\u0443 \u043d\u0430 \u043b\u044e\u0431\u043e\u0439 \u0438\u0437 \u0434\u0432\u0443\u0445 \u043f\u0440\u044f\u043c\u044b\u0445 \u0438 \u043d\u0430\u0439\u0442\u0438 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u044d\u0442\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u0439. \u043b\u0438\u043d\u0438\u044f.<\/strong> <\/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\/distance-entre-un-point-et-une-ligne-en-ligne.webp\" alt=\"\u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043b\u0438\u043d\u0438\u044f\u043c\u0438 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435\" class=\"wp-image-1960\" width=\"425\" height=\"361\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u043e\u0440\u043c\u0443\u043b\u0430 \u0434\u043b\u044f \u0440\u0430\u0441\u0447\u0435\u0442\u0430 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043e\u0442 \u0442\u043e\u0447\u043a\u0438 \u0434\u043e \u043b\u0438\u043d\u0438\u0438 \u0432 \u0442\u0440\u0435\u0445 \u0438\u0437\u043c\u0435\u0440\u0435\u043d\u0438\u044f\u0445 (\u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u0435\u0442\u0441\u044f \u0434\u043b\u044f \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\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \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-7c7a838a254403e912767fb131474703_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(s,r)=d(P,r)=\\cfrac{\\lvert \\vv{QP} \\times \\vv{\\text{v}}_r \\rvert}{\\lvert \\vv{\\text{v}}_r \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"225\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p style=\"text-align:left; margin-bottom:4px\"> \u0417\u043e\u043b\u043e\u0442\u043e:<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-74f213a2a0ca1a22659ce06a80bc5d07_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{v}}_r \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"23\" style=\"vertical-align: -5px;\"><\/p>\n<p> &#8212; \u0432\u0435\u043b\u0438\u0447\u0438\u043d\u0430 \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \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-aa03a29f511592c1a1ecc8b306b0cf0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2c758bec4c272382411b95fc0e7ee250_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u044d\u0442\u043e \u0442\u043e\u0447\u043a\u0430 \u043d\u0430 \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-42ca8c420951296e93092e708435813a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r,\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: -4px;\"><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u0442\u043e\u0447\u043a\u0430 \u043d\u0430 \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> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fdca087897cc5ad573be7ce2b595dfb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{QP}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"28\" style=\"vertical-align: -4px;\"><\/p>\n<p> \u0432\u0435\u043a\u0442\u043e\u0440, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u043c\u044b\u0439 \u0434\u0432\u0443\u043c\u044f \u0442\u043e\u0447\u043a\u0430\u043c\u0438<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-de23c83cb189398d246990817a7e83db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{QP} \\times \\vv{\\text{v}}_r \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<p> &#8212; \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 \u043c\u0435\u0436\u0434\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\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-fdca087897cc5ad573be7ce2b595dfb3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{QP}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"28\" style=\"vertical-align: -4px;\"><\/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-50f32076ae1ee85f5b7c5a6d43a03089_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<\/li>\n<\/ul>\n<\/div>\n<p> \u0412 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u043c\u044b \u0441\u043e\u0431\u0438\u0440\u0430\u0435\u043c\u0441\u044f \u0440\u0435\u0448\u0438\u0442\u044c \u0437\u0430\u0434\u0430\u0447\u0443 \u043e \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0438 \u043c\u0435\u0436\u0434\u0443 \u0434\u0432\u0443\u043c\u044f \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043b\u0438\u043d\u0438\u044f\u043c\u0438 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435:<\/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 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c\u0438 \u0434\u0432\u0443\u043c\u044f \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u0440\u044f\u043c\u044b\u043c\u0438? <\/li>\n<\/ul>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><\/div>\n<\/div>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-43cb370e9b16d006262ec6893e02dc92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ (x,y,z) = (2,1,1) + t(-1,3,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"264\" 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-48307ac3d4d0b23d6816a7473b6b1c0f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s: \\ (x,y,z) = (-2,4,1) + t(2,-6,-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"292\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041e\u0431\u0435 \u043b\u0438\u043d\u0438\u0438 \u0432\u044b\u0440\u0430\u0436\u0430\u044e\u0442\u0441\u044f \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 \u043c\u044b \u043b\u0435\u0433\u043a\u043e \u0443\u0437\u043d\u0430\u0435\u043c \u0432\u0435\u043a\u0442\u043e\u0440 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0438 \u0442\u043e\u0447\u043a\u0443 \u043a\u0430\u0436\u0434\u043e\u0439 \u0438\u0437 \u043d\u0438\u0445:<\/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-91c721e906a848c6c129721fe7908112_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle r : \\ \\begin{cases}\\vv{\\text{v}}_r=(-1,3,2) \\\\[1.7ex] Q(2,1,1) \\end{cases} \\qquad \\qquad s: \\ \\begin{cases}\\vv{\\text{v}}_s=(2,-6,-4) \\\\[1.7ex] P(-2,4,1) \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"417\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0415\u0441\u043b\u0438 \u0443 \u0432\u0430\u0441 \u0435\u0441\u0442\u044c \u0441\u043e\u043c\u043d\u0435\u043d\u0438\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \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 \u043f\u0440\u044f\u043c\u043e\u0439, \u0440\u0435\u043a\u043e\u043c\u0435\u043d\u0434\u0443\u0435\u043c \u0432\u0437\u0433\u043b\u044f\u043d\u0443\u0442\u044c \u043d\u0430 \u043e\u0431\u044a\u044f\u0441\u043d\u0435\u043d\u0438\u0435  \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439  . \u0422\u0430\u043c \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u0438\u043b\u0438 \u044d\u0442\u043e \u0434\u043b\u044f \u0432\u0441\u0435\u0445 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0439 \u043f\u0440\u044f\u043c\u043e\u0439, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044f \u0438 \u0442\u043e\u0447\u043a\u0438, \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0430\u0449\u0435\u0439 \u043f\u0440\u044f\u043c\u043e\u0439, \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0442\u0438\u043f\u0430 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f, \u0432 \u043a\u043e\u0442\u043e\u0440\u043e\u043c \u0432\u044b\u0440\u0430\u0436\u0430\u0435\u0442\u0441\u044f \u043b\u0438\u043d\u0438\u044f.<\/p>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c, \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\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u0440\u044f\u043c\u044b\u043c\u0438, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u0440\u0438\u043c\u0435\u043d\u0438\u0442\u044c \u0444\u043e\u0440\u043c\u0443\u043b\u0443 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u044f \u043e\u0442 \u0442\u043e\u0447\u043a\u0438 \u0434\u043e \u043f\u0440\u044f\u043c\u043e\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-7c7a838a254403e912767fb131474703_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(s,r)=d(P,r)=\\cfrac{\\lvert \\vv{QP} \\times \\vv{\\text{v}}_r \\rvert}{\\lvert \\vv{\\text{v}}_r \\rvert}\" title=\"Rendered by QuickLaTeX.com\" height=\"45\" width=\"225\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \u0418\u0442\u0430\u043a, \u0441 \u043e\u0434\u043d\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u043c\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u043c\u043e\u0434\u0443\u043b\u044c \u0432\u0435\u043a\u0442\u043e\u0440\u0430, \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0433\u043e \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f. \u0415\u0441\u043b\u0438 \u0443 \u0432\u0430\u0441 \u0435\u0441\u0442\u044c \u0441\u043e\u043c\u043d\u0435\u043d\u0438\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043e\u043d\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u044b\u0432\u0430\u0435\u0442\u0441\u044f, \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043e\u0431\u0440\u0430\u0442\u0438\u0442\u044c\u0441\u044f \u043a  \u0444\u043e\u0440\u043c\u0443\u043b\u0435 \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f  , \u0433\u0434\u0435, \u043a\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 \u0440\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u044d\u0442\u043e\u0439 \u043e\u043f\u0435\u0440\u0430\u0446\u0438\u0438 \u043c\u0435\u0436\u0434\u0443 \u0432\u0435\u043a\u0442\u043e\u0440\u0430\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-dadf92e90a88ce334cf34bce072e5457_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{QP} = Q - P = (2,1,1)-(-2,4,1) = (4,-3,0)\" 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-f166cb84d794adae8b8e5678790a5ad8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{QP} \\times \\vv{\\text{v}}_r  =\\begin{vmatrix} \\vv{i}&amp; \\vv{j}&amp; \\vv{k}  \\\\[1.1ex] 4&amp;-3&amp;0 \\\\[1.1ex] -1&amp;3&amp;2 \\end{vmatrix}=-6\\vv{i} -8\\vv{j}+9\\vv{k}\" title=\"Rendered by QuickLaTeX.com\" height=\"86\" width=\"316\" 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-bcf2fce752d73d75254674158d4824b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left|\\vv{QP} \\times \\vv{\\text{v}}_r \\right| =\\sqrt{(-6)^2+(-8)^2+9^2} = \\sqrt{36+64+81} = \\sqrt{181}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"464\" style=\"vertical-align: -6px;\"><\/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\u0430 \u043f\u0440\u044f\u043c\u043e\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-c5986f031932e6b3512dc564514c34b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"17\" 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-beb8af5ebd61faa6a707fabf3a13de60_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\lvert \\vv{\\text{v}}_r \\rvert = \\sqrt{(-1)^2+3^2+2^2} = \\sqrt{1+9+4} = \\sqrt{14}\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"351\" style=\"vertical-align: -6px;\"><\/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 \u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u044f\u0435\u043c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 \u0441\u0442\u0440\u043e\u043a\u0430\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-dfc98500cdf36f3b5f09c525579f7f9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(s,r)=d(P,r)=\\cfrac{\\lvert \\vv{QP} \\times \\vv{\\text{v}}_r \\rvert}{\\lvert \\vv{\\text{v}}_r \\rvert}=\\cfrac{\\sqrt{181}}{\\sqrt{14}} = \\bm{3,60}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"350\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \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 \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 3,60 \u0435\u0434\u0438\u043d\u0438\u0446\u044b. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-determinar-la-distancia-entre-dos-rectas-que-se-cruzan-en-el-espacio\"><\/span> \u041a\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 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438 \u0432\u043d\u0430\u0447\u0430\u043b\u0435, \u043c\u0435\u0442\u043e\u0434 \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 \u043f\u0440\u044f\u043c\u044b\u043c\u0438 \u043e\u0442\u043b\u0438\u0447\u0430\u0435\u0442\u0441\u044f \u043e\u0442 \u043f\u0440\u043e\u0446\u0435\u0434\u0443\u0440\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0439 \u043c\u0435\u0436\u0434\u0443 \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u043c\u0438 \u043f\u0440\u044f\u043c\u044b\u043c\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 \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\" class=\"wp-image-2692\" width=\"226\" height=\"221\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0441\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\u0442\u043e\u043c\u0443 \u0447\u0442\u043e \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, \u0444\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u043e\u043d\u0438 \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u043d\u0435 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044e\u0442\u0441\u044f. <\/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 \u0430\u043c\u043f\u043b\u0438\u0442\u0443\u0434\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> \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, \u043c\u044b \u0440\u0435\u0448\u0430\u0435\u043c \u0441\u043c\u0435\u0448\u0430\u043d\u043d\u043e\u0435 \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 (\u0438\u043b\u0438 \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-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 \u043c\u043e\u0434\u0443\u043b\u044c \u0432\u0435\u043a\u0442\u043e\u0440\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u044f (\u0438\u043b\u0438 \u043f\u0435\u0440\u0435\u043a\u0440\u0435\u0441\u0442\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><\/p>\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 \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 \u043b\u0438\u043d\u0438\u044f\u043c\u0438 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 (\u0432 R3), \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e \u043e\u0442 \u0438\u0445 \u0442\u0438\u043f\u0430 (\u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0435, \u0441\u0435\u043a\u0443\u0449\u0438\u0435, \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u044e\u0449\u0438\u0435, \u0441\u0435\u043a\u0443\u0449\u0438\u0435, \u043f\u0435\u0440\u043f\u0435\u043d\u0434\u0438\u043a\u0443\u043b\u044f\u0440\u043d\u044b\u0435 \u043b\u0438\u043d\u0438\u0438 \u0438 \u0442. \u0434.). \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 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. \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 \u043b\u0438\u043d\u0438\u044f\u043c\u0438 \u0420\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 \u2014 \u044d\u0442\u043e \u043c\u0438\u043d\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0435 \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0435 \u043c\u0435\u0436\u0434\u0443 &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%bb%d0%b8%d0%bd%d0%b8%d1%8f%d0%bc%d0%b8-%d0%b2-%d0%bf%d1%80%d0%be%d1%81\/\"> <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 \u043b\u0438\u043d\u0438\u044f\u043c\u0438 \u0432 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0435 (\u0432 r3)<\/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-258","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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