{"id":4780,"date":"2022-09-02T15:19:29","date_gmt":"2022-09-02T13:19:29","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/vektor-priklad-1\/"},"modified":"2022-09-02T15:19:29","modified_gmt":"2022-09-02T13:19:29","slug":"vektor-priklad-1","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/vektor-priklad-1\/","title":{"rendered":"Vektor &#8211; p\u0159\u00edklad 1"},"content":{"rendered":"<p><strong>Zad\u00e1n\u00ed:<\/strong> M\u00e1me vektor <em><strong>u\u2192<\/strong><\/em>,&nbsp;kter\u00fd je um\u00edst\u011bn jako orientovan\u00e1 \u00fase\u010dka. Po\u010d\u00e1te\u010dn\u00ed i koncov\u00fd bod le\u017e\u00ed v m\u0159\u00ed\u017eov\u00e9m bod\u011b. D\u00e1le m\u00e1me vektor <em>v\u2192<\/em>,&nbsp;kter\u00fd je na vektor <strong><em>u<\/em><\/strong> kolm\u00fd.<\/p>\n<p style=\"text-align: center\" data-mce-style=\"text-align: center;\"><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone  wp-image-4779\" src=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/vektor-300x276.png\" alt=\"\" width=\"433\" height=\"398\" data-mce-src=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/vektor-300x276.png\" srcset=\"https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/vektor-300x276.png 300w, https:\/\/studijni-svet.cz\/kurzy\/wp-content\/uploads\/2022\/09\/vektor.png 392w\" sizes=\"(max-width: 433px) 100vw, 433px\" \/>&nbsp;<\/p>\n<p><strong>Jak\u00e9 jsou sou\u0159adnice x vektoru v\u2192?<\/strong><br \/>a) -15<br \/>b) -12<br \/>c) -9<br \/>d) -8<br \/>e) Vektor v\u2192= (x; 10) nem\u016f\u017ee b\u00fdt nikdy kolm\u00fd k vektoru u\u2192.<\/p>\n<p><strong>\u0158e\u0161en\u00ed:<\/strong><\/p>\n<p>1) Z obr\u00e1zku vy\u010dteme, \u017ee:<br \/>$$\\vec{v} = (-4; -6)$$<br \/>2) Sou\u0159adnice x kolm\u00e9ho vektoru bude shodn\u00e1 se sou\u0159adnic\u00ed y vektoru v\u2192; sou\u0159adnice y kolm\u00e9ho vektoru bude odpov\u00eddat sou\u0159adnici x vektoru v\u2192, jen bude na opa\u010dn\u00e9 stran\u011b, tedy s +:&nbsp;vektor kolm\u00fd = (-6; 4)<br \/>3) (-6; 4) vyd\u011bl\u00edme 2<br \/>(-3; 2)<br \/>4) Vyn\u00e1sob\u00edme 5, aby druh\u00fd \u010dlen (y) byl 10, prvn\u00ed \u010dlen bude v takov\u00e9m p\u0159\u00edpad\u011b &#8211; 15, co\u017e je hodnota x.<br \/>(x; 10) \u21d2 (-15; 10)<br \/>x = -15<br \/><strong>Spr\u00e1vn\u011b je tedy mo\u017enost (a).<\/strong><\/p>\n<p>\u010casov\u00e1 n\u00e1ro\u010dnost: 3-4 minuty<\/p>\n<p>Jedn\u00e1 se o p\u0159\u00edklad z maturitn\u00edho testu.<\/p>\n","protected":false},"comment_status":"open","ping_status":"closed","template":"","class_list":["post-4780","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Vektor - p\u0159\u00edklad 1 | Studijni-svet.cz<\/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:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/vektor-priklad-1\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Vektor - p\u0159\u00edklad 1 | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Zad\u00e1n\u00ed: M\u00e1me vektor u\u2192,&nbsp;kter\u00fd je um\u00edst\u011bn jako orientovan\u00e1 \u00fase\u010dka. Po\u010d\u00e1te\u010dn\u00ed i koncov\u00fd bod le\u017e\u00ed v m\u0159\u00ed\u017eov\u00e9m bod\u011b. D\u00e1le m\u00e1me vektor v\u2192,&nbsp;kter\u00fd je na vektor u kolm\u00fd. &nbsp; Jak\u00e9 jsou sou\u0159adnice x vektoru v\u2192?a) -15b) -12c) -9d) -8e) Vektor v\u2192= (x; 10) nem\u016f\u017ee b\u00fdt nikdy kolm\u00fd k vektoru u\u2192. \u0158e\u0161en\u00ed: 1) Z obr\u00e1zku vy\u010dteme, \u017ee:$$vec{v} = ... 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