d 4, display the following vectors using arrows on an

Step 1 of 2

In this problem we need to represent the vectors, \(\mathbf{u}, \mathbf{v},-\mathbf{v},-2 \mathbf{v}, \mathbf{u}+\mathbf{v}, \mathbf{u}-\mathbf{v}\), and \(\mathbf{u}-2 \mathbf{v}\) on an xy-graph. Also indicate the vertices of the parallelogram formed by the vectors \(\mathbf{u}\), \(\boldsymbol{0}\), \(\mathbf{-v}\) and \(\mathbf{u - v}\).
\(u=\left[\begin{array}{c} -1 \\ 2 \end{array}\right]\)

\(v=\left[\begin{array}{l} -3 \\ -1\end{array}\right]\)
\(-v=\left[\begin{array}{l} 3 \\ 1 \end{array}\right] \)
\(-2 v=\left[\begin{array}{l} 6 \\ 2\end{array}\right]\)
\(u+v=\left[\begin{array}{c} -1+(-3) \\ 2+(-1) \end{array}\right] \rightarrow u+v=\left[\begin{array}{c} -4 \\ 1\end{array}\right]\)
\(u-v=\left[\begin{array}{c} -1-(-3) \\ 2-(-1) \end{array}\right] \rightarrow u-v=\left[\begin{array}{l} 2 \\ 3 \end{array}\right]\)

\(u-2 v=\left[\begin{array}{c} -1-2(-3) \\ 2-2(-1) \end{array}\right] \rightarrow u-2 v=\left[\begin{array}{l} 5 \\ 4 \end{array}\right]\)