Find the altitude of a parallelepiped determined by vectors A, B, and C if the base is taken to be the parallelogram determined by A and B and
The altitude of such a parallelepiped is precisely the length of the orthogonal projection of C onto the cross-product of A and B.
It can be readily seen from a picture. The cross-product A X B is perpendicular to both A and B, and if we project C onto it, ...
The altitude of a parallelepiped determined by three vectors is calculated.