
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 \(b\).

\[ a = 2p + 3q \]

\[ b = p - 2q \]

\[ |p| = 6 \]

\[ |q| = 7 \]

\[ \angle(p, q) = \frac{\pi}{3} \]

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