
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
A moving point P on a plane is at an equal distance from point F(1,0) and the line x=-1.  
(Ⅰ) Find the equation of the trajectory of point P;  
(Ⅱ) A line passing through point M(4,0) intersects the trajectory of point P at points A and B. Find the value of $$\overrightarrow {OA}\cdot \overrightarrow {OB}$$.

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