Hi

I really need some assistance with the following problem:

"Find all unit vectors in the plane determined by u = (3,0,1) and v = (1,-1,1) that are perpendicular to the vector w = (1,2,0)".

The problem for me is that I donīt really know how to approach planes in general. For example, how do I calculate what plane is determined by the two vectors u and v?

What would u and v look like if they were serparate planes?

If someone know a website that explains the basics of vector planes I would appreciate the adress.

Thanks in advance