1. Is the set \begin{equation*} \set{\colvector{1\\-1\\2},\,\colvector{5\\3\\-1},\,\colvector{8\\4\\-2}} \end{equation*} an orthogonal set? Why?
2. What is the distinction between an orthogonal set and an orthonormal set?
3. What is nice about the output of the Gram-Schmidt process?