If the cross product of two vectors is another vector, how can the magnitude of that vector, a length, be equal to an area? (The area of the parallelogram formed by the two vectors multiplied) It seems like it should just be equal to a length.

Question

anonymous · Answer

these are two different ways of defining the cross products one is geometrical interpretation(area) while other is intutive.

anonymous · Answer

But shouldn't the cross product's definition translate to whichever interpretation you decide to use?