Find the vector $z,$ given that $u=3,-2,4,v=0,2,1,$ and $w=-6,-6,2.z=-u+3v+12w$

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

$P=(-2,-1),Q=(5,-1),R=(4,6)$

$(a)$ Write $u$ and $vin$ component form.

$($:$u_1,u_2$:$)=($:$7,0$:$)$

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

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

$u=$

$v=6i+7j$

$(c)$ Find the magnitudes $ofu$ and $v.$

$||u||=$

$||v||=$

$(d)$ Find $-4u+v.$