Final answer:
The volume of a parallelepiped can be found using the formula V = |(pq x pr) . ps|. For the given edges pq, pr, and ps, plug in their values to calculate the volume.
Step-by-step explanation:
The volume of a parallelepiped can be found using the formula V = |(pq x pr) . ps|, where pq, pr, and ps are the adjacent edges of the parallelepiped. The dot product of the cross product of pq and pr with ps represents the volume of the parallelepiped.
For example, if pq = (2,1,3), pr = (4,1,2), and ps = (1,2,3), then the volume of the parallelepiped is V = |(2,1,3) x (4,1,2) . (1,2,3)| = |(-1,10,-7) . (1,2,3)| = |-1 + 20 - 21| = 0.
Therefore, the volume of the parallelepiped in this example is 0.