Three displacement vectors of a croquet ball are shown in the figure, where $|vec(A)|=21\mathrm{.}0$ units, $|vec(B)|=35\mathrm{.}0$ units, and $|vec(C)|=30\mathrm{.}0$ units.

$($i$)$

$($a$)$ Find the resultant in unit$-$vector notation.

vec$(R)=$ units

$($b$)$ Find the magnitude and direction of the resultant displacement.

magnitude

unit$($s$)$

direction

$$ counterclockwise from the $+x$ axis