
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system

Calculate the area of the parallelogram formed by the vectors \( \mathbf{a} \) and \( \mathbf{b} \).

\[
\begin{aligned}
& \mathbf{a} = 5\mathbf{p} - \mathbf{q} \\
& \mathbf{b} = \mathbf{p} + \mathbf{q} \\
& |\mathbf{p}| = 5 \\
& |\mathbf{q}| = 3 \\
& (\widehat{\mathbf{p}, \mathbf{q}}) = \frac{5 \pi}{6}
\end{aligned}
\]

Present the answer in LaTex format: \boxed{Your answer}
user