(708, #27) Find the volume of the parallelepiped with adjacent edges PQ,

(708, #27) Find the volume of the parallelepiped with adjacent edges PQ,PR, and PS where P = (1,1,1),
Q = (2,0,3,), R = (4,1,7), S = (3,-1,-2).
Solution: The volume of a parallelepiped determined by the vectors a, b ,c (where a, b and c share the same initial point) is the magnitude of their scalar triple product:
V
Since P = (1,1,1) is the initial point we have:

Thus the volume is 21 cubic units.

by:sh