Question

dados os vetores u=(1,1,-1) e v= (2,-1,1) e w=(x,0,x), Tal que u= w . v

Answer 1

(1,1,-1) = (produto escalar) (2,-1,1) . (x,0,x)
(1,1,-1) = 2x+0+x
(1,1,-1) = 3x
3x = 1
x = 1/3

1 = 3. 1/3 (V)

-1 = 3 . 1/3 (F) ?

Answer 2

U = w . V (1,1,-1) = (2,-1,1) . (x,0,x) (1,1,-1) = 2x + 0 + x (1,1,-1) = 3x 3x = 1 x = 1/3 Logo: 1 = 3x 1 = 3.1/3 1 = 1 (verdadeira) -1 = 3x -1 = 3.1/3 -1 = 1 (falsa)