I'm unsure if the following is true or not in the absence of external forces: Electric potential is a scalar quantity. This I know is true because there is no direction associated with potential energy. It is always possible to assign a value of zero to the electric potential at the origin. This I am completely unsure of though I think it is true because potential depends on a reference point that you can set yourself. The change in a particle's potential energy depends on the total length of its path between two points. I suspect that this is true because U = qV and V is dependent on the distance between the points. The work required to move a charge q from a point at potential Vi to a point at potential Vf is q(Vf - Vi). This should be false because (delta)U = q(Vf - Vi) and W = -(delta)U so it should be -q(Vf - Vi) instead. Can someone please verify my reasoning and correct me if I'm wrong? Thank you.