
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 constructed on the vectors \(a\) and \(b\).

\(a = p - 2q\)

\(b = 2p + q\)

\(|p| = 2\)

\(|q| = 3\)

\((\widehat{p, q}) = \frac{3\pi}{4}\)

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