A dipole that is free to move is placed near a fixed dipole, with the midpoint of the free dipole on the perpendicular bisector of the fixed dipole. The distance from the free dipole to the fixed one is much greater than the dipole separation \(d\) of the fixed dipole. Draw a diagram to illustrate the motion of the free dipole if it is placed with its dipole moment \((a)\) in the same direction as the direction of \(\vec{p}_{\mathrm{fixed}}\), the dipole moment of the fixed dipole, \((b)\) in the direction opposite that of \(\vec{p}_{\text {fixed }}\), and (c) perpendicular to the direction of \(\vec{p}_{\text {fixed }}\).