Question

9. Considerando o espaço vetorial R^3, os vetores u=(1,2,1), v=(3,1,-2) e w=(4,1,0), qual é o valor de 2u+v-3w

Answer 1

u=(1,2,1)
v=(3,1,-2)
w=(4,1,0)

2u=(2,4,2)
v=(3,1,-2)
3w=(12,3,0)
2u+v=(2+3,4+1,2-+(-2))=(5,5,0)
2u+v-3w=(5,5,0)+(-12,-3,0)=(5+(-12),5+(-3),0+0)=(-7,2,0)

O valor de 2u+v-3w=(-7,2,0).