Question

determinar os vetores v=(k+m, 2, -1) e u=(2, 2k-m,3). Determine o valor de k e m para que os vetores v e u sejam paralelos

Answer 1

$\frac{\vec{v}}{\vec{u}}=\lambda$

$\frac{k+m}{2}=\frac{2}{2k-m}=\frac{-1}{3}$

$\frac{k+m}{2}=-\frac{1}{3}$

$3k+3m=-2$

$\frac{2}{2k-m}=\frac{-1}{3}$

$-6=2k-m$

$\boxed{\boxed{k=-\frac{20}{9}~~e~~m=\frac{14}{9}}}$