
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 the parabola $$y= \frac {1}{4}x^{2}$$, and a line $l$ passing through point P(0, 2) intersects the parabola at points A and B, with O being the origin of the coordinates, then $$\overrightarrow {OA}\cdot \overrightarrow {OB}$$ equals \_\_\_\_\_\_.

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