Question

Dados os vetores u=(12,-4) e v=(-4,8), determinar o vetor w tal que: 3w-(2v-u)=2 (4w-3u).

Answer 1

3w-(2v-u)=2 (4w-3u).3w - 2v + 2u = 8w - 6u
8w - 3w = 6u + 2u - 2v
  5w = 8u - 2v

  5w = 8(12,-4)  - 2(- 4, 8 )
  5w = ( 96, - 32) - ( - 8, 16)
 5w = ( 96 +8, - 32 -16)
 5w = ( 104, - 48 )
  
  w = ( 104/5, - 48/5 )