1. The problem statement, all variables and given/known data Lay down vector a, take its endpoint as the initial point of vector b, and complete the parallelogram. The area of this paralellogram taken with a certain sign is I(a conjugate)b. On what geometrical feature does the sign depend? 2. Relevant equations 3. The attempt at a solution My initial thought is that is has something to do with angles and arguements, but my problem is figuring out how the sign changes.