Question

Given the points P=(−3−2−3), Q=(−14−1), R=(−1−11) and S=(445), find the volume of the parallelepiped with adjacent edges PQ, PR and PS. I don't know where to start.

Answer 1

Make 3 vectors using the adjacent edges (i.e. a=PQ, b=PR, c=PS), then use the cross product on the last 2 vectors. Then use the dot product between the 1st vector and the result of the cross product.