Do vectors need to be orthogonal to be valid basis vectors? Every point in $R^2$ can be "reached" through linear combinations of the basis vectors $[1,0], [0,1]$, which are indeed orthogonal. But you could substitute the latter vector with $[1,1]$ and still "reach" any point in $R^2$ through linear combinations therein.
So my question, is it required for basis vectors to be orthogonal, just good practice, or am I missing the mark entirely?
