Answer
$11\textbf {i}-7\textbf {j}$
Work Step by Step
Step 1: $\textbf {v}-3\textbf {u}$
Step 2: $(2\textbf {i}-\textbf {j})-3(-3\textbf {i}+2\textbf {j})$
Step 3: $2\textbf {i}-\textbf {j}+9\textbf {i}-6\textbf {j}$
Step 4: $2\textbf {i}+9\textbf {i}-\textbf {j}-6\textbf {j}$
Step 5: $11\textbf {i}-7\textbf {j}$