Aproton, mass 1.67 · 10 27 kg and charge +1.6 · 10 19 c, moves in a circular orbit perpendicular to a uniform magnetic field of 0.71 t. find the time for the proton to make one complete circular orbit.

The scalar triple product computes the magnitude m of the moment of a force vector f about a specified line. it is m = (r × f) · n, where r is the position vector from the line to the point of application of the force and n is a unit vector in the direction of the line. use matlab to compute the magnitude m for the case where f = [12, −5, 4] n, r = [−3, 5, 2] m, and n = [6, 5, −7].