Question

Can Someone Please Help! Given the points P=(0,−1,−2), Q=(−3,1,−3), R=(0,−3,1) and S=(−2,2,3), find the volume of the parallelepiped with adjacent edges PQ, PR and PS.

Answer 1

If you write the sides as vectors: PQ = (-3,1,-3) - (0,-1,-2)=<-3,2,-1>. See session 6 for geometric definition of determinant of these vectors.