Let $u=$vec$(PQ)$ and $v=$vec$(PR).$

$P=(-2,-1),Q=(5,-1),R=(4,3)$

$($a$)$ Write $u$ and $v$ in component form.

$($:$u_1,u_2$:$)=$

$($:$v_1,v_2$:$)=$

$$

$$

$($b$)$ Write $u$ and $v$ as the linear combination of the standard unit vectors i and $j.$

$u=$

$($c$)$ Find the magnitudes of $u$ and $v.$

$||u||=$

$||v||=$

$($d$)$ Find $-5u+v.$