I've been reading a bit on vector calculus trying to get a solid grasp on it. I am wondering how it can be stated that given C=AXB (all vectors), that C is equivalent to the area of the rectangle formed by A and B in the A,B plane. How can you equate length and area. One is in say...mm and the other would be in mm2. So are they saying that if A is 1 mm and B is 1 mm 90 degrees apart, the C is 1 mm3 perp to A and B? I thought vectors had only length and direction. Do you see my quandry here?