
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 points $O(0,0,0)$, $A(1,2,2)$, $B(2,1,1)$, $P(1,0,2)$, point $Q$ moves on the line $OP$. When the minimum value of $\overrightarrow{QA} \cdot \overrightarrow{QB}$ is achieved, find the coordinates of point $Q$.

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