# Math Help - LinAlg - parallel and orthogonal vectors?

1. ## LinAlg - parallel and orthogonal vectors?

u=(-11,-4,-11)
v=(12,6,8)

vector u1 is parallel to v
vector u2 is orthogonal to v
u1+u2=u

find u1 and u2.

i have absolutely no idea!!

2. Originally Posted by eiktmywib
u=(-11,-4,-11) & v=(12,6,8)
vector u1 is parallel to v
vector u2 is orthogonal to v
u1+u2=u
Standare vector projection.
$u_1 = \frac{{u \cdot v}}{{v \cdot v}}v\,\& \,u_2 = u - u_1$