Chapter 8.5, Problem 53PE

Given $v=4i+9j$ and $w=2i-j,$
a. Find ${\text{proj}}_{\text{w}}\text{v}\text{.}$
b. Find vectors ${\text{v}}_{\text{1}}$ and ${\text{v}}_{\text{2}}$ such that ${\text{v}}_{\text{1}}$ is parallel to w, ${\text{v}}_{\text{2}}$ is orthogonal to w, and ${\text{v}}_{\text{1}}+{\text{v}}_{\text{2}}=\text{v}$ .