(a) Show that according to the classical theory of the Zeeman effect a possible motion is circular motion, either \(\mathrm{ccw}\) or \(\mathrm{cw}\), in the \(x-y\) plane perpendicular to the magnetic field direction.

(b) Of the two possible circular motion, \(\mathrm{ccw}\) and \(\mathrm{cw}\), which one corresponds to the higher frequency \(\omega_{+}\)?

(c) For the possible classical oscillation modes, what is the appearance of the electron motion as observed perpendicular to the magnetic field direction?