
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 a parabola \( C: y^2 = 4x \), with \( F \) as the focus of \( C \). A line \( l \) passes through \( F \) and intersects the parabola \( C \) at two points \( A \) and \( B \). The slope of the line is 1. Determine the angle between the vectors \( \overrightarrow{OA} \) and \( \overrightarrow{OB} \).

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