Question

Dados os vetores u = 2i - 3j, v= i-j e w= -2i + j , determinar
a) v - u + 2w
b) 1/2 u - 2 v - w

Answer 1

Resposta:

u = 2i - 3j = (2, -3)

v = i - j = (1, -1)

w = -2 + j = (-2, 1)

a) v - u + 2w

   (1, -1) - (2, -3) + 2(-2,1)

   (1, -1) - (2, -3) + (-4, 2)

   (1-2-4, -1+3+2)

   (-5, 4)

b) 1/2 u - 2v - w

   1/2 (2, -3) - 2(1, -1) - (-2, 1)

   (1, -3/2) - (2, -2) - (-2, 1)

   (1-2+2, -3/2+2-1)

   (1, -1/2)