A particle of mass m and charge e moves in the laboratory in crossed, static, uniform, electric and magnetic fields. E is parallel to the x axis; B is parallel to the y axis.
(a) For ∣E∣<∣B∣ make the necessary Lorentz transformation described in Section 12.3 to obtain explicitly parametric equations for the particle's trajectory.
(b) Repeat the calculation of part a for ∣E∣>∣B∣.