The helicopter view in the figure shows two people pulling on a stubborn mule. The person on the right pulls with a force vec$(F{)}_1$ of magnitude $88\mathrm{.}8N$ and direction of ${}_1=50\mathrm{.}0.$ The person on the left with a force vec$(F{)}_2$ of magnitude $83\mathrm{.}0N$ and direction of ${}_2=55\mathrm{.}0.$

$($a$)$ Find the single force that is equivalent to the two forces shown. The forces are measured in units of newtons $($symbolized $N).$

$Ni+Nj$

$($b$)$ Find the force that a third person would have to exert on the mule to make the resultant force equal to zero.

Nhat$(i)+$

N $j$