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Algèbre Linéaire

Examen 2

QuestionAnswer
Comment calculer la distance d'un point A à une droite? Trouver un point P de la droite / Trouver le vecteur normal / AP= OP-OA / D= (AP*n)/||n||
Comment trouver quel point P sur une droite est le plus proche à un point extérieur A? Trouver l'éq. cartésienne / Trouver le vecteur normal / Isoler x ou y puis remplacer dans l'équation symétrique
Comment trouver l'angle entre deux droites? Trouver les 2 vecteurs directeurs à l'aide de AB= 0B-OA = (a,b) / Utiliser la formule angle = arccos(d1*d2)/||d1||*||d2||
Comment calculer la distance entre une droite et l'origine? distance = (p1,p2)(n1,n2)/ ||n||.
Quel est le théorème des points alignés? OC = kOA - (1-k)OC
Qu'est-ce-qu'une base? Deux vecteurs linéairement indépendants qui peuvent former une combinaison linéaire
Qu'est-ce-qu'une base orthonormée? Base dont les vecteurs sont unitaires
Comment s'appelle une base dont les vecteurs sont à 90 degrés? Base orthogonale
Quelle est la formule pour calculer le plus petit angle entre deux vecteurs? angle= arccos (u1v1+u2v2)/||u||*||v||
Quelle est la forme de l'équation symétrique? (x-p1)/d1 = (y-p2)/d2
Created by: 1553656660
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