Chapter 9.5, Problem 31E

(a)

To determine

To find: The scalar triple product $u\cdot \left(v\times w\right)$ of the vectors $u=\langle 2,3,-2\rangle$, $v=\langle -1,4,0\rangle$ and $w=\langle 3,-1,3\rangle$.

(b)

To determine

To describe: Whether the vectors $u=\langle 2,3,-2\rangle$, $v=\langle -1,4,0\rangle$ and $w=\langle 3,-1,3\rangle$ are coplanar and find the volume of the parallelepiped determined by the vectors u, v and w.