Two charges, $+8$C and $+15$C$,$ are fixed $1$ m apart, with the second one to the right. Find the magnitude and direction of the net force $($in N$)$ on a $2$ nC charge when placed at the following locations.

$($a$)$halfway between the two

$($b$)$half a meter to the left of the $+8$C charge

$($c$)$half a meter above the $+15$C charge in a direction perpendicular to the line joining the two fixed charges $($Assume this line is the x$-$axis with the $+$x$-$direction toward the right. Indicate the direction of the force in degrees counterclockwise from the $+$x$-$axis.$)$