Write the expression, in a vector form, for the Lorentz magnetic force vector F due to a charge moving with velocity

Question

Write the expression, in a vector form, for the Lorentz magnetic force \(\overrightarrow{F}\) due to a charge moving with velocity \(\overrightarrow{V}\) in a magnetic field \(\overrightarrow{B}.\) What is the direction of the magnetic force?

Answer 1

Force, \(\overrightarrow{F}=q(\overrightarrow{v}\times\overrightarrow{B})\)

Obviously, the force on charged particle is perpendicular to both velocity \(\overrightarrow{V}\) and magnetic field \(\overrightarrow{B}.\)