Two vectorsa = 2i - 2j +kandb = 2i + j - kare given. Write the vectorbas sum of vectors$\displaystyle \mathbf{b_1}$and $\displaystyle \mathbf{b_2}$ such that $\displaystyle \mathbf{b_1}$ is parallel toaand $\displaystyle \mathbf{b_2}$ is perpendicular toa.Find the vectors $\displaystyle \mathbf{b_1}$ and $\displaystyle \mathbf{b_2}$