If a magnetic field is directed parallel to the positive y-axis and an electron is moving along the

Question

If a magnetic field is directed parallel to the positive y-axis and an electron is moving along the positive x-axis, in which direction does the Lorentz force act on the electron?

Professor PC Thomas Classes · Answer

Force $\vec{F} = -e(\vec{v} 	imes \vec{B}) = -e(v\hat{i} 	imes B\hat{j}) = -evB\hat{k}$. The force is in the negative z-direction.