Which of the following is false about the cross product?

Which of the following FALSE true about the cross product?





a)It gives you a vector perpendicular to two given vectors.


b)Its length gives you the area of the parallelogram determined by two given vectors.


c)Switching the order you take the cross product has the effect of multiplying by -1.


d)It gives you the projection of one vector onto another.

Which of the following is false about the cross product?
a) this is true. It's easy to remember if you think about the right hand rule.





b) this is true.





c) this is true. this property is called "anticommutative"





d) This is false. If you think about it, it's imposible for this to be true at the same time as b). if the vector is small enough to be the projection, it can't possibly be large enough to represent the area of the parallelogram (it is only the length of the height).