Answer
$\textbf {i}$
Work Step by Step
Step 1: $2\textbf {v}+\textbf {u}$
Step 2: $2(2\textbf {i}-\textbf {j})+(-3\textbf {i}+2\textbf {j})$
Step 3: $(4\textbf {i}-2\textbf {j})+(-3\textbf {i}+2\textbf {j})$
Step 4: $4\textbf {i}-3\textbf {i}-2\textbf {j}+2\textbf {j}$
Step 5: $\textbf {i}$