## Calculus (3rd Edition)

The volume of the parallelepiped is given as: $\textbf{u}\cdot(\textbf{v}\times\textbf{w})$ = det $\begin{pmatrix}u\\v\\w\end{pmatrix}$ $=\begin{vmatrix}2&2&1\\1&0&3\\0&-4&0\end{vmatrix}$ $=0-[-4(2\times3-1\times1)]+0$ (As there are two zeros in the third row, evaluation of the determinant by the expansion along the third row is easy.) =20 cubic units.