
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
Let \\(O\\) be the origin of coordinates, \\(F\\) be the focus of the parabola \\(y^{2}=2px(p > 0)\\), and \\(A\\) be a point on the parabola. The angle between \\( \overrightarrow{FA} \\) and the positive direction of the \\(x\\)-axis is \\(60^{\circ}\\). Find the value of \\(| \overrightarrow{OA} |\\).

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