Use graph paper to complete the following problems.  

1. Draw $\textbf{a} = 2\textbf{i} + 3\textbf{j}$, $\textbf{b} = \textbf{i} − \textbf{j}$, and $\textbf{c} = −3\textbf{i} + 2\textbf{j}$.

2. Find $\textbf{a} + \textbf{b}$ geometrically.

   Hint (b):

   Move the vectors you created in part (a) to show $\textbf{a} + \textbf{b}$.

3. Write $\textbf{a} + \textbf{b}$ in $\textbf{i}$, $\textbf{j}$ form.

4. Write $\mathbf{b} + \mathbf{c}$ and $\mathbf{c} − \mathbf{a}$ in $\textbf{i}$, $\textbf{j}$ form without drawing them.

   Step (d):

   $\mathbf{b} + \mathbf{c} = (\mathbf{i} − \mathbf{j}) + (−3\mathbf{i} + 2\mathbf{j})$