Question

Dados os vetores ∨= (2, -1, 3) e v= (3, 5, - 4), então o vetor w= 2v-v é igual a:
Escolha uma:
a. (1, 3, 10)
b. (1, -7, 10)
c. (1, -7, 2)
d. (1, 3, 2)

Answer 1

w= 2u-v= 2(2, -1, 3) - (3, 5, - 4)
w = (4, - 2, 6) - ( 3, 5, - 4 )
w = (4-3, - 2-5, 6+4)
W = (1, - 7, 10 )

Letra B

Answer 2

$\vec{w}=2\vec{u}-\vec{v}\\\\\vec{w}=2(2,-1,~3)-(3,~5,-4)\\\\\vec{w}=(4,-2,~6)-(3,~5,-4)\\\\\vec{w}=([4-3],~[-2-5],~[6-(-4)])\\\\\vec{w}=(1,-7,~[6+4])\\\\\boxed{\boxed{\vec{w}=(1,-7,~10)}}$

Letra B