Question

Sendo u=(1,a-1,4) e v=(c,1,-4b) e sabendo que 2u+v=0, calcule a, b e c.
Repostas:a=1/2 b=2 e c=-2.

Answer 1

u = (1, a-1, 4)
v = (c, 1, -4b)

2u + v = 0
2(1, a-1, 4) + (c, 1, -4b) = 0
(2, 2a-2, 8) + (c, 1, -4b) = 0

2 + c = 0
c = -2

2a-2 + 1 = 0
2a = 2-1
2a = 1
a = 1/2

8 + (-4b) = 0
8 -4b = 0
-4b = -8
b = 8/4
b = 2