... with the cross product being only defined as: A X B = |A| |B| sin [tex]\theta[/tex] times a unit vector perpendicular to the plane of A&B (direction according to the right hand rule, in the usual way). where theta is the smallest angle between vectors A & B. A X ( B + C ) = A X B + A X C is the equation I have to prove without using a component-wise approach; I'm considering the case where one of the three vectors would be perpendicular to the two other as I have shown the coplanar case. I have tried using several approaches, graphical and algebraic, both unsuccessful so far. If you have any ideas please let me know, just to get started don't do anything more than suggesting something - I should be able to figure it out. Thanks!!