Originally Posted by

**chocaholic** Hi again.

I understand the orthogonal projection part as that is the formula, but why can (a,b) be (1,1)?

It has to be a basis for the subspace on which we're going to project, and that's why (1,0) and (0,1) don't work.

Tonio

Since we're working in R^2 shouldn't we have 2 basis vectors like (1,0) and (0,1)? And once we have the new vector/s is/are that T? How does this relate to x=y? unless (1,1) is a basis of x=y if so then how do we confirm this?

Thanks for the help.