Question

Write the expression in a vector form for the Lorentz magnetic force F due to a charge moving with velocity v in a magnetic field B.  What is the direction of the magnetic force?

Answer 1

The expression in vector form is given by

F = q(u x B)

where q is the charged particle.

The direction of the magnetic force is in the direction of u x B, i.e., perpendicular to the plane containing u and B.