Three point charges are arranged as shown in the figure below.

$($a$)$ Find the vector electric field that the $q=5\mathrm{.}00nC$ and $-3\mathrm{.}00nC$ charges together create at the origin.

$\frac{N}{C}$hat$(i)+,\frac{N}{C}$hat$(j)$

$($b$)$ Find the vector force on the $5\mathrm{.}00nC$ charge.

$Nhat(i)+,$jNhat$(j)$