
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 that points A, B, and C are collinear in a plane, and $\overrightarrow{OA}=(-2,m)$, $\overrightarrow{OB}=(n,1)$, $\overrightarrow{OC}=(5,-1)$, and $\overrightarrow{OA}$ is perpendicular to $\overrightarrow{OB}$, find the values of the real numbers $m$ and $n$.

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