A square is enclosed by the lines:
- \(\mathbf{r}=\begin{pmatrix}0\\2\end{pmatrix} + a\begin{pmatrix}1\\1\end{pmatrix}\)
- \(\mathbf{r}=\begin{pmatrix}0\\6\end{pmatrix} + b\begin{pmatrix}-1\\1\end{pmatrix}\)
- \(\mathbf{r}=\begin{pmatrix}2\\1\end{pmatrix} + c\begin{pmatrix}2\\2\end{pmatrix}\)
- \(\mathbf{r}=\begin{pmatrix}1\\2\end{pmatrix} + d\begin{pmatrix}1\\-1\end{pmatrix}\)
Can you convince yourself that the adjacent edges are perpendicular?
Find the area of the square.
Find a vector equation for each of the two diagonals.
