Magnetic bivector.

What would happen if you take the wedge of the magnetic field and the velocity of a charged particle, you get the force or the current correct? So the equation looks like:

## \mathbf{J} = \mathbf{v} \wedge\mathbf{B}## This equation is true right?

I mean since ##\mathbf{J} \perp \mathbf{F}## and when you take the velocity vector and the magnetic field and wedge them you get something which is parallel to the current(but maybe my math is wrong and I am missing a minus sign.)

well if the velocity vector is is at some angle to the magnetic vector