
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 \(\mathbf{p}\), \(\mathbf{q}\), and \(\mathbf{r}\) be unit vectors such that
\[
\mathbf{p} \times (\mathbf{q} \times \mathbf{r}) = \frac{\mathbf{q} - \mathbf{r}}{\sqrt{3}},
\]
and such that \(\{\mathbf{p}, \mathbf{q}, \mathbf{r}\}\) is a linearly independent set. Determine the angle between \(\mathbf{p}\) and \(\mathbf{q}\), in degrees.

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