
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 equation of curve C is $$\begin{cases} x=3\cos\theta \\ y=3\sin\theta \end{cases}$$ (θ is the parameter). Establish a polar coordinate system with the coordinate origin as the pole and the positive semi-axis of the x-axis as the polar axis. The polar coordinate equation of line l is ρ(cosθ - sinθ) = 1.

1. Find the rectangular coordinate equations of C and l.
2. Given that line l intersects the y-axis at point M and intersects curve C at points A and B, find the value of $|$$\frac {1}{|MA|}- \frac {1}{|MB|}$$|$.

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