An electron of mass m and charge -q is moving under the influence of a uniform electric field, vec(E)=E_(0) hat(y) and a uniform magnetic field, vec(B)=B_(O) hat(z). The initial position of the electron is the origin (0,0,0) and the initial velocity is vec(v)=v_(0) hat(x). (i) Write the equations of motion. (ii) Determine the trajectory vec(r) (t) of the electron