
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 spatial vectors $\overrightarrow {a} = (-1, 1, -2)$, $\overrightarrow {b} = (1, -2, -1)$, and $\overrightarrow {n} = (x, y, -2)$ with the condition that $\overrightarrow{n}$ is parallel to $\overrightarrow{b}$. Find the dot product $\overrightarrow{a} \cdot \overrightarrow{n}$.

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