Calculus parallelepiped

Question

Find the volume of a parallelepiped if four of its eight vertices are ​A(0​,0​,0​), ​B(3​,1​,0​), ​C(0​,−2​,1​), and ​D(2​,−5​,8) ​Find volume of the parallelepiped with the given vertices​ A, B, C and D

Answer 1

We create vectors: AB = <3, 1, 0>, AC = <0, -2,1>, AD = <2, - 5, 8>.

Volume V = Idet[(3, 1, 0) (0, -2, 1) (2, -5, 8)I = 31