{"id":265,"date":"2023-09-21T13:37:51","date_gmt":"2023-09-21T13:37:51","guid":{"rendered":"https:\/\/demo.themeansar.com\/newsup\/lite\/?p=98"},"modified":"2023-09-21T11:02:20","modified_gmt":"2023-09-21T11:02:20","slug":"most-overrate-kindness-greatest-be-oh-staking-laughter","status":"publish","type":"post","link":"https:\/\/mariagoni.com\/?p=265","title":{"rendered":"Unitat 1- La perpendicularitat"},"content":{"rendered":"\r\n<p>\u00a0La <a href=\"http:\/\/www.wikillerato.org\/Perpendicularidad.html\"><b>perpendicularitat<\/b>\u00a0<\/a>\u00e9s una relaci\u00f3 entre dues varietats que es produeix quan formen un angle de 90\u00b0 (<a class=\"mw-redirect\" title=\"Angle recte\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Angle_recte\">angle recte<\/a>, angle normal).<\/p>\r\n<p>A\u00a0<span class=\"mwe-math-element\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/52f7de8c77bb7b2f62cd634647281e78d0fc0d9e\" alt=\"\\mathbb{R}^3\" aria-hidden=\"true\" \/><\/span>, existeixen les seg\u00fcents combinacions que donen angles rectes:<\/p>\r\n<p><b>Rectes<\/b>: 2 rectes que es tallen (s\u00f3n per tant al mateix pla) formen a la vegada 4 angles rectes. Aquest \u00e9s l&#8217;\u00fanic cas que existeix tamb\u00e9 a <span class=\"mwe-math-element\"><span class=\"mwe-math-mathml-inline mwe-math-mathml-a11y\">2<\/span><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/e150115ab9f63023215109595b76686a1ff890fd\" alt=\"{\\displaystyle \\mathbb {R} ^{2}}\" aria-hidden=\"true\" \/><\/span>.<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-335 alignleft\" src=\"https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/R-300x206.png\" alt=\"\" width=\"300\" height=\"206\" srcset=\"https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/R-300x206.png 300w, https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/R.png 304w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-334 aligncenter\" src=\"https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/10-5.gif\" alt=\"\" width=\"179\" height=\"270\" \/>Cal dir que una recta t\u00e9 infinites rectes perpendiculars passant per cadascun dels seus punts que estan contingudes en un pla. 2 rectes s\u00f3n perpendiculars si, i nom\u00e9s si, el\u00a0<a title=\"Producte escalar\" href=\"https:\/\/ca.wikipedia.org\/wiki\/Producte_escalar\">producte escalar<\/a>\u00a0dels seus vectors directors \u00e9s igual a 0.<\/p>\r\n<p><br \/><b>Recta-Pla<\/b>: Aquesta relaci\u00f3 \u00e9s \u00fanica, per cada punt d&#8217;una recta nom\u00e9s existeix un pla perpendicular i per cada punt del pla una recta perpendicular. La recta que compleix aix\u00f2 \u00e9s la recta normal al pla.<\/p>\r\n<p><br \/><b>Plans<\/b>: Per cada punt d&#8217;un pla hi ha una infinitat de plans perpendicular i tots ells contenen la recta perpendicular al pla.<\/p>\r\n<p>Dos plans s\u00f3n perpendiculars si, i nom\u00e9s si, els seus vectors normals tamb\u00e9 ho s\u00f3n.<\/p>\r\n<p>\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-338\" src=\"https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/plano-perpendicular-a-recta-por-punto-diedrico-directo-10endibujo-300x172.jpg\" alt=\"\" width=\"607\" height=\"348\" srcset=\"https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/plano-perpendicular-a-recta-por-punto-diedrico-directo-10endibujo-300x172.jpg 300w, https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/plano-perpendicular-a-recta-por-punto-diedrico-directo-10endibujo-1024x586.jpg 1024w, https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/plano-perpendicular-a-recta-por-punto-diedrico-directo-10endibujo-768x440.jpg 768w, https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/plano-perpendicular-a-recta-por-punto-diedrico-directo-10endibujo.jpg 1071w\" sizes=\"(max-width: 607px) 100vw, 607px\" \/><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-337 alignright\" src=\"https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/plano-perpendicular-a-plano-en-diedrico-directo-300x166.jpg\" alt=\"\" width=\"614\" height=\"340\" srcset=\"https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/plano-perpendicular-a-plano-en-diedrico-directo-300x166.jpg 300w, https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/plano-perpendicular-a-plano-en-diedrico-directo-1024x566.jpg 1024w, https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/plano-perpendicular-a-plano-en-diedrico-directo-768x425.jpg 768w, https:\/\/mariagoni.com\/wp-content\/uploads\/2023\/07\/plano-perpendicular-a-plano-en-diedrico-directo.jpg 1071w\" sizes=\"(max-width: 614px) 100vw, 614px\" \/><\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>\u00a0La perpendicularitat\u00a0\u00e9s una relaci\u00f3 entre dues varietats que es produeix quan formen un angle de&#8230;<\/p>\n","protected":false},"author":2,"featured_media":334,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"image","meta":{"footnotes":""},"categories":[34,1,12],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - 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