
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
Given the real numbers \( p \) and \( q \), the vectors 
\[
\begin{pmatrix} 3 \\ p \\ -4 \end{pmatrix}
\]
and 
\[
\begin{pmatrix} 6 \\ 5 \\ q \end{pmatrix}
\]
are such that their cross product equals the zero vector. Find the ordered pair \((p, q)\).

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