Exercise 4.9.14 Using the notion of the box product yielding either plus or minus the volume of the parallelepiped determined by the given three vectors, show that (uxv) .w = u. (vxw) In other words, the dot and the cross can be switched as long as the order of the vectors remains the same. Hint: There are two ways to do this, by the coordinate description of the dot and cross product and by geometric reasoning