Fluency exercise

## Problem

A square is enclosed by the lines:

1. $\mathbf{r}=\begin{pmatrix}0\\2\end{pmatrix} + a\begin{pmatrix}1\\1\end{pmatrix}$
1. $\mathbf{r}=\begin{pmatrix}0\\6\end{pmatrix} + b\begin{pmatrix}-1\\1\end{pmatrix}$
1. $\mathbf{r}=\begin{pmatrix}2\\1\end{pmatrix} + c\begin{pmatrix}2\\2\end{pmatrix}$
1. $\mathbf{r}=\begin{pmatrix}1\\2\end{pmatrix} + d\begin{pmatrix}1\\-1\end{pmatrix}$
• 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.