A particle carrying \(5.0 \times 10^{-7} \mathrm{C}\) of charge is located on the perpendicular bisector of a small dipole, \(300 \mathrm{~mm}\) from the center of the line joining the two poles of the dipole. The magnitude of the electric force exerted on the particle is \(10.0 \times 10^{-6} \mathrm{~N}\). Draw a diagram showing the dipole and indicating the direction of its dipole moment. On this diagram, show 

\((a)\) the direction of the electric force exerted on the particle and 

\((b)\) the direction of the electric force exerted on the dipole.

(c) Determine the magnitude of the electric force exerted on the dipole.