{"id":1894,"date":"2024-06-26T12:54:31","date_gmt":"2024-06-26T09:54:31","guid":{"rendered":"https:\/\/cedra.academy\/?p=1894"},"modified":"2024-07-02T12:57:12","modified_gmt":"2024-07-02T09:57:12","slug":"segment-orientat-vectori-vectori-coliniari","status":"publish","type":"post","link":"https:\/\/cedra.academy\/?p=1894","title":{"rendered":"Segment orientat, vectori, vectori coliniari"},"content":{"rendered":"\n

Segment orientat<\/h3>\n\n\n\n

Un segment orientat este o no\u021biune geometric\u0103 care presupune un segment de dreapt\u0103 ce are o direc\u021bie specificat\u0103. \u00centr-un segment orientat, pe l\u00e2ng\u0103 cele dou\u0103 extremit\u0103\u021bi (capete), se specific\u0103 un sens de parcurs, de la un cap\u0103t la cel\u0103lalt. Dac\u0103 not\u0103m segmentul cu extremit\u0103\u021bile ( A ) \u0219i ( B ), segmentul orientat de la ( A ) la ( B ) se noteaz\u0103 ( \\overrightarrow{AB} ). Segmentul orientat este important \u00een studiul vectorilor, deoarece direc\u021bia \u0219i sensul segmentului sunt folosite pentru a defini vectorii.<\/p>\n\n\n\n

Vectori<\/h3>\n\n\n\n

Un vector este un obiect matematic ce reprezint\u0103 o m\u0103rime cu at\u00e2t o magnitudine (lungime) c\u00e2t \u0219i o direc\u021bie. Vectorii sunt esen\u021biali \u00een multe domenii ale matematicii, fizicii \u0219i ingineriei, fiind folosi\u021bi pentru a modela for\u021be, deplas\u0103ri \u0219i alte concepte care necesit\u0103 descrierea unei direc\u021bii \u0219i a unei magnitudini. Un vector poate fi reprezentat grafic printr-un segment orientat, unde lungimea segmentului reprezint\u0103 magnitudinea vectorului \u0219i direc\u021bia segmentului reprezint\u0103 direc\u021bia vectorului. De exemplu, vectorul ( \\overrightarrow{AB} ) are punctul de \u00eenceput ( A ) \u0219i punctul de sf\u00e2r\u0219it ( B ), iar lungimea sa este distan\u021ba dintre ( A ) \u0219i ( B ).<\/p>\n\n\n\n

Vectori coliniari<\/h3>\n\n\n\n

Vectorii coliniari sunt vectori care se afl\u0103 pe aceea\u0219i dreapt\u0103 sau pe drepte paralele. Acest lucru \u00eenseamn\u0103 c\u0103 vectorii au aceea\u0219i direc\u021bie sau direc\u021bii opuse. Dac\u0103 doi vectori sunt coliniari, atunci unul poate fi exprimat ca o scalar\u0103 a celuilalt. Matematic, vectorii ( \\mathbf{u} ) \u0219i ( \\mathbf{v} ) sunt coliniari dac\u0103 exist\u0103 un num\u0103r real ( k ) astfel \u00eenc\u00e2t ( \\mathbf{u} = k \\mathbf{v} ). De exemplu, vectorii ( \\overrightarrow{AB} ) \u0219i ( \\overrightarrow{CD} ) sunt coliniari dac\u0103 \u0219i numai dac\u0103 exist\u0103 un scalar ( k ) astfel \u00eenc\u00e2t ( \\overrightarrow{AB} = k \\overrightarrow{CD} ). \u00cen contextul fizic \u0219i geometric, coliniaritatea vectorilor poate simplifica multe calcule \u0219i analize, deoarece propriet\u0103\u021bile coliniarit\u0103\u021bii permit reducerea complexit\u0103\u021bii problemei la o singur\u0103 dimensiune.<\/p>\n\n\n\n

PPTX Segment orientat, vectori, vectori coliniari <\/a>Descarc\u0103<\/a><\/div>\n\n\n\n
\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

Segment orientat Un segment orientat este o no\u021biune geometric\u0103 care presupune un segment de dreapt\u0103 ce are o direc\u021bie specificat\u0103. \u00centr-un segment orientat, pe l\u00e2ng\u0103 cele dou\u0103 extremit\u0103\u021bi (capete), se […]<\/p>\n","protected":false},"author":1,"featured_media":1895,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13,10],"tags":[],"_links":{"self":[{"href":"https:\/\/cedra.academy\/index.php?rest_route=\/wp\/v2\/posts\/1894"}],"collection":[{"href":"https:\/\/cedra.academy\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cedra.academy\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cedra.academy\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/cedra.academy\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1894"}],"version-history":[{"count":1,"href":"https:\/\/cedra.academy\/index.php?rest_route=\/wp\/v2\/posts\/1894\/revisions"}],"predecessor-version":[{"id":1898,"href":"https:\/\/cedra.academy\/index.php?rest_route=\/wp\/v2\/posts\/1894\/revisions\/1898"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/cedra.academy\/index.php?rest_route=\/wp\/v2\/media\/1895"}],"wp:attachment":[{"href":"https:\/\/cedra.academy\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1894"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cedra.academy\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1894"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cedra.academy\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1894"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}