
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 $c$ and $d$, solve for $c$ and $d$ if the vectors
\[
\begin{pmatrix} 3 \\ c \\ -9 \end{pmatrix} \times \begin{pmatrix} 6 \\ 5 \\ d \end{pmatrix} = \mathbf{0}.
\]

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