Question

dados os vetores u=(3,-1) e v = (-1,2). determine o vetor W, tal que :
a) 4(u-v)+1/3 w= 2 u-w ..

Answer 1

4(u-v)+1/3w=2(u-w)

4[(3,-1)-(-1,2)]+ 1/3w=2[(3,-1)-w]

4[(4,-3)]+1/3w=(6,-2)-2w

(16,-12)+1/3w+2w=(6,-2)
3(16,-12)+1w+6w=(6,-2)
(48,-36)+7w=(6,-2)
7w=(6,-2)-(48,-36)
7w=(-42,34)
w=(-42/7,34/7)
w=(-6,34/7)