Find the volume of the parallelepiped whose edges are (1, 2, 1), (3, 2, 5), (1, 5, 7)
If vector a, vector b, vector c are the given edges then
= 1(14 – 25) – 2(21 – 5) + 1(15 – 2)
= –11 – 32 + 13
= –30
Volume of the parallelepiped = 30 cubic unit.