Problem $1$:

Three charges are on a line as shown in the figure below. The charges are $q_1=-6\mathrm{.}5C,q_2=3\mathrm{.}0C,$ and $q_3=-1\mathrm{.}1C$

$[$a$]$ Draw a free$-$body diagram showing all forces on charge $q_1.$

$[$b$]$ Determine the magnitude of the force on charge $1$ due to charge $2.$

$q_{2}0\mathrm{.}20m{q}_{1}0\mathrm{.}15m{q}_3$

$[$c$]$ Determine the magnitude of the force on charge $1$ due to charge $3.$

$[$d$]$ Determine the magnitude and direction of the net force on charge $1.$