Three forces are applied to an object, as shown in the figure. Force vec$(F_1)$ has a magnitude of $23\mathrm{.}9$ newtons $(23\mathrm{.}9N)$ and is directed $30\mathrm{.}0$ to the left of the $+y$ axis. Force vec$(F_2)$ has a magnitude of $14\mathrm{.}2N$ and points along the $+x$ axis. What must be the $($a$)$ magnitude and $($b$)$ direction $($specified by the angle $$ in the drawing$)$ of the third force vec$(F_3)$ such that the vector sum of the three forces is $0N?$

$($a$)$ Number

Units

$($b$)$ Number

Units