
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
In the rectangular coordinate system $xOy$, the parametric equations of line $C\_1$ are $$\begin{cases} x=3+t\cos \frac {π}{4} \\ y=2+t\sin \frac {π}{4}\end{cases}$$ (where $t$ is a parameter). Establish a polar coordinate system with the coordinate origin $O$ as the pole, the positive half of the $x$-axis as the polar axis, and the same unit length. The polar equation of curve $C\_2$ is $ρ= \frac {4\cosθ}{\sin^{2}θ }$.

(I) Find the rectangular coordinate equations of $C\_1$ and $C\_2$;

(II) Draw a perpendicular line to $C\_1$ through point $P(3, 2)$, intersecting curve $C\_2$ at points $M$ and $N$. Calculate $|PM| \cdot |PN|$.

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