PS$-05$: Problem $8$

$(4$ points$)$

Find two vectors $\frac{?}{\text{b}\text{a}\text{r}}(v{)}_1$ and $\frac{?}{\text{b}\text{a}\text{r}}(v{)}_2$ whose sum is $(5,1),$ where $\frac{?}{\text{b}\text{a}\text{r}}(v{)}_1$ is paralel to $(3,-3)$ while $\frac{?}{\text{b}\text{a}\text{r}}(v{)}_2$ is perpendicular to $(3,-3)$

$\frac{?}{\text{b}\text{a}\text{r}}(v{)}_1=$ and$\frac{}{b}$

$ar(v{)}_2=$

Note: You can earn partial credit on this problem.