The Lorentz force on a charge \(q\) moving with velocity \(\vec{v}\) in a magnetic field \(\vec{B}\) is \(\vec{F} = q(\vec{v} \times \vec{B})\). The full Lorentz force including the electric field is \(\vec{F} = q(\vec{E} + \vec{v} \times \vec{B})\). Option (B) is the divergence of vector potential (unrelated), and option (C) has incorrect notation.