
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 that $\overrightarrow{i}$, $\overrightarrow{j}$, $\overrightarrow{k}$ are mutually perpendicular unit vectors, and $\overrightarrow{a} = 2\overrightarrow{i} - \overrightarrow{j} + \overrightarrow{k}$, $\overrightarrow{b} = \overrightarrow{i} + \overrightarrow{j} - 3\overrightarrow{k}$, find the dot product $\overrightarrow{a} \cdot \overrightarrow{b}$.

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