Critical Thinking A magnetic field of 2.00 x 10^-7 T in the positive x-direction exists. Three electrons pass through the origin, one at a time, each with a velocity of 5.00 x 10⁷ m/s. The first electron passes the origin along the x-axis, the second electron along the y-axis, and the third at an angle of 45° with respect to both the y- and z-axes in the yz-plane.

(a) What is the force acting on each electron? 

(b) What is the shape of the path of each electron? 

(c) When, if ever, will each electron return to the origin?