
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
It is known that $O$ is the origin of the coordinate system, $\overrightarrow{OA} = (-3, 1)$, $\overrightarrow{OB} = (0, 5)$, and $\overrightarrow{AC} \parallel \overrightarrow{OA}$, $\overrightarrow{BC} \perp \overrightarrow{AB}$. Find the coordinates of point $C$.

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