Critical Thinking

A magnetic field of $2.00 \times 10^{−7} \text{T}$ in the positive x-direction exists. Three electrons pass through the origin, one at a time, each with a velocity of $5.00 \times 10^{7} \text{m}/\text{s}$. 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?