Consider two protons 1 and 2 , each carrying a charge \(+e=\) \(1.6 \times 10^{-19} \mathrm{C}\), separated by \(1.0 \mathrm{~mm}\) moving at \(3 \times 10^{5} \mathrm{~m} / \mathrm{s}\) parallel to each other and perpendicular to their separation.

(a) What is the direction of the magnetic force that each proton exerts on the other?

(b) Determine the ratio of the magnitudes of the magnetic and electric forces that the two exert on each other.