Express the vector $\overset \rightharpoonup {a} = 5\hat{i} - 2\hat{j} + 5\hat{k}$ as sum of two vectors such that one is parallel to the vector $\overset \rightharpoonup {b} = 3\hat{i} + \hat{k}$ and the other is perpendicular to $\overset \rightharpoonup {b}$