
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 $\mathbf{p} = \begin{pmatrix} 2 \\ -3 \\ 4 \end{pmatrix}$, $\mathbf{q} = \begin{pmatrix} \sqrt{3} \\ 5 \\ -2 \end{pmatrix}$, and $\mathbf{r} = \begin{pmatrix} -7 \\ 3 \\ 10 \end{pmatrix}$. Find the angle between the vectors $\mathbf{p}$ and $(\mathbf{p} \cdot \mathbf{r}) \mathbf{q} - (\mathbf{p} \cdot \mathbf{q}) \mathbf{r}$, in degrees.

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