The magnitude of a force vector vec$(F)$ is $80\mathrm{.}7$ newtons $(N).$ The $x$ component of this vector is directed along the $+x$ axis and has a

magnitude of $77\mathrm{.}5N.$ The $y$ component points along the $+y$ axis. $($a$)$ Find the angle between vec$(F)$ and the $+x$ axis. $($b$)$ Find the component

of vec$(F)$ along the $+y$ axis.

$($a$)$ Number

Units

$($b$)$ Number

Units