# Illustration Cross product between velocity and magnetic field

Cross product $$\boldsymbol{v} \times \boldsymbol{B}$$ between the velocity $$\boldsymbol{v}$$ of a charged particle and the magnetic field $$\boldsymbol{B}$$. Thus the magnetic force $$\boldsymbol{F}_{\text m}$$ acts on the particle orthogonal to the velocity and magnetic field.
The magnitude $$|\boldsymbol{v} \times \boldsymbol{B}|$$ of the cross product corresponds to the area enclosed by $$\boldsymbol{v}$$ and $$\boldsymbol{B}$$.