Say A,B and C are points on a plane. By taking the magnitude of the cross product of AB and BC gives you the area of the parallelogram. The direction of the answer will be perpendicular to both AB and BC, but what I don't understand is why we are getting the area? Is the area pointing in that perpendicular direction? This applies same for moment = r x F Linear velocity of a particle rotating about an axis = omega x r Let's look at the moment, r and F is perpendicular to each other, but why is the moment perpendicular to both r and F? Shouldn't the rotation be in the direction of a tangential force? I'm confused.. Why is a cross product being treated like a conventional multiplying sign when we are actually finding a vector perpendicular to both of the displacement vectors?