Question:
U:=$span((1,1,0))$ of $\mathbb{R}^3$
Find the Orthogonal Projection $P_U$ of $U$.
Problem:
Here, I understand that U is only one dimensional. So, every vector in the set would be a multiple of the given vector: $$n(1,1,0)$$
So, how do I proceed to calculate the orthonormal basis here? I'm very much familiar with the Gram-Schmidt Process but that requires multiple vectors?
I would appreciate any help!