Sphere A carries \(6.0 \mathrm{nC}\) of charge. It is placed \(100 \mathrm{~mm}\) from sphere B, which carries \(3.0 \mathrm{nC}\) of charge. Assume the spheres are much smaller than their separation distance.

(a) What is the magnitude of the electric force exerted on A?

(b) Draw a figure showing the charges and the electric force vectors on each sphere.

(c) Draw and label \(\vec{r}_{\mathrm{AB}}\) on your diagram.