The vectors → A = 7 i + 5 j − 6 k and → B = 3 i + y j + z k are known to be parallel. Find y and z

Answer 1

If A and B are parallel, then

A = cB ⇒

c = A_x/B_x = 7/3

Apply this to the y and z components and get

5 = (7/3)y ⇒

y = 15/7

-6 = (7/3)z ⇒

z = -18/7