
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
The area of the parallelogram formed by vectors $\mathbf{u}$ and $\mathbf{v}$ is 10. Find the area of the parallelogram formed by the vectors $3\mathbf{u} + 4\mathbf{v}$ and $2\mathbf{u} - 6\mathbf{v}$.

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