
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 $O(0,0)$, $A(2,-1)$, and $B(1,2)$.
1. Find the area of $\triangle OAB$.
2. If point $C$ satisfies line $BC \perp AB$ and $AC \parallel OB$, find the coordinates of point $C$.

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