Question

Determine o vetor w, sabendo que 2(u+3w) + v = 2v - w onde u=(6,4) e v=(3, -2)

Answer 1

2(u + 3w) + v = 2v - w
2u + 6w + v = 2v - w
6w + w = 2v - v - 2u
7w = v - 2u
7w = (3, -2) - 2*(6, 4)
7w = (3, -2) - (12, 8)
7w = (-9, -10)
w = (-9, -10) / 7
w = (-9/7, -10/7)