I'm trying to calculate the Faraday 2-form with two vectors as an input. The problem is I don't know how to interpret my results. The Faraday 2-form is given by, F=1/2Fαβdxα∧dxβ And I'm told to calculate F(u,v) where u=uαdα and v=vαdα I expanded out Fαβ with the determinant given by the wedge product using my two 1-forms as input. When we did this for charge and velocity, we got the lorentz force, but it seems all I have here is a big mess. What is the physical interpretation of the Faraday 2-form which takes two 4 velocities as an input? Thanks.