
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
Translate the parametric equation of curve C into polar coordinates, and identify the type of curve.
Given that the parametric equations of line l are:
$$
\begin{cases}
x= \frac {3}{2} + t \\
y= \sqrt {3} t
\end{cases}
$$
When line l intersects curve C at points A and B, calculate the magnitude of the vector $\overrightarrow{AB}$.

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