
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

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

Given:
\[ \mathbf{a} = 7\mathbf{p} - 2\mathbf{q} \]
\[ \mathbf{b} = \mathbf{p} + 3\mathbf{q} \]
\[ |\mathbf{p}| = \frac{1}{2} \]
\[ |\mathbf{q}| = 2 \]
\[ \theta(\mathbf{p}, \mathbf{q}) = \frac{\pi}{2} \]

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