
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 $Q$ be a plane passing through the origin. When $\begin{pmatrix} 7 \\ 1 \\ 9 \end{pmatrix}$ is projected onto plane $Q$, the result is $\begin{pmatrix} 6 \\ 3 \\ 2 \end{pmatrix}$. When $\begin{pmatrix} 6 \\ 2 \\ 5 \end{pmatrix}$ is projected onto plane $Q$, what is the result?

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