Finding Parallel and Orthogonal Vectors for u and v

[Whiz]

Homework Statement

For u=(26, 6, 21) and v=(−27, −9, −18) , find the vectors u1 and u2 such that:

(i) u1 is parallel to v

(ii) u2 is orthogonal to v

(iii) u = u1 + u2

Homework Equations

None

The Attempt at a Solution

I'm quite lost on this question and not sure how to even start. Can someone explain the question and give me some hints to get started?

Thanks in advance.

 

[aPhilosopher]

Are you sure that there are no relevant equations? What about those defining defining parallel and orthogonal?

 

[Gib Z]

Drawing a diagram is always great.

 

[Whiz]

There aren't any other questions or equations about this. All I know is if their dot product is 0, then its orthogonal, and my book doesn't even mention parallel.