Orthogonalize the following set of vectors. \large \bold{e}_1 = \bigg \langle \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}, 0 \bigg \rangle \large \bold{e}_2 = \bigg \langle -1, 1, -1 \bigg \rangle \large \bold{e}_3 = \bigg \langle 0, -2, -2 \bigg...