
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 \( a \) and \( b \).

Given:
\[ a = 3p - 4q \]
\[ b = p + 3q \]
\[ |p| = 2 \]
\[ |q| = 3 \]
\[ \text{Angle between } p \text{ and } q \text{ is } \frac{\pi}{4} \]

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