Question

3. Sejam u = (2, -4), v = (-3, 12) e w = (6, 3). Determine o vetor x tal que:
a) x = u + v
b) x = 3u + 2w
c) x = 2u - v
d) x = 2 (u + v) + 3w
e) x = 2 (3u + 2w) - 3 (5v)
e) u + 2v = x - w
f) 3 (u + 2x) = 4x + 2w

Answer 1

Olá,

$x_{a} = u+v = (-1,8) \\ x_{b} = 3u+2w = (18,-6) \\ x_{c} = 2u-v = (7,-20) \\ x_{d} = 2(u+v)+3w = (16,25) \\ x_{e1} = 2(3u+2w)-3(5v) = (81,-192) \\ x_{e2} = u+2v+w = (2,23) \\ x_{f} = \frac{ 2w-3u }{2} = ( 3 , 9 )$.


Atenciosamente,