
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
Let \(\mathbf{p} = \begin{pmatrix} 2 \\ -7 \\ 4 \end{pmatrix}\), \(\mathbf{q} = \begin{pmatrix} -3 \\ \frac{5}{3} \\ 2 \end{pmatrix}\), and \(\mathbf{r} = \begin{pmatrix} 6 \\ 1 \\ -3 \end{pmatrix}\). Compute
\[
(\mathbf{p} - \mathbf{q}) \cdot [(\mathbf{q} - \mathbf{r}) \times (\mathbf{r} - \mathbf{p})].
\]

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