Question

sejam os pontos a (-2, 1, 5), b (1, 0, 2) e c (1, -2, 3), determine os vetores: a) {ab} b) {ac} c) {bc}

Answer 1

$Vetor_{ab}=( x_{b} - x_{a} , y_{b} - y_{a} , z_{b} - z_{a} ) = (1-(-2),0-1,2-5)$
$Vet_{ab}=(3,-1,-3)$

$Vetor_{ac}=( x_{c} - x_{a} , y_{c} - y_{a} , z_{c} - z_{a} ) = (1-(-2),(-2)-1,3-5)$
$Vet_{ac}=(3,-3,-2)$

$Vetor_{bc}=( x_{c} - x_{b} , y_{c} - y_{b} , z_{c} - z_{b} ) = (1-1,(-2)-0,3-2)$
$Vet_{bc}=(0,-2,1)$