Exercise 2

Find the volume of the region defined by the vectors.

• $\langle\begin{pmatrix}1\\ 3\end{pmatrix},\begin{pmatrix}-1\\ 4\end{pmatrix}\rangle$

• $\langle\begin{pmatrix}2\\ 1\\ 0\end{pmatrix},\begin{pmatrix}3\\ -2\\ 4\end{pmatrix},\begin{pmatrix}8\\ -3\\ 8\end{pmatrix}\rangle$

• $\langle\begin{pmatrix}1\\ 2\\ 0\\ 1\end{pmatrix},\begin{pmatrix}2\\ 2\\ 2\\ 2\end{pmatrix},\begin{pmatrix}-1\\ 3\\ 0\\ 5\end{pmatrix},\begin{pmatrix}0\\ 1\\ 0\\ 7\end{pmatrix}\rangle$