An electron of mass m, subjected to an electromagnetic force F follows a path described by the position vector F = (ecos(at) + bt) + esin(at)] where t represents time and e and b are positive constants.. (a) Find the velocity v(t) of the electron as a function of time t. (b) Find the electromagnetic force F causing this motion. Express F in the component notation. (c) What is the angle between v(t) and Fat time t = 27/@ = T which is the period of the circular motion about the and @. z axis as the electron is drifted along x axis. Express your results in terms of e, b, m,