
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 the vector \\( \overrightarrow{a}=(1,-2)\\), and vector \\( \overrightarrow{b}\\) satisfies \\(| \overrightarrow{b}|=2\\), the dot product of vectors \\( \overrightarrow{a}\\) and \\( \overrightarrow{b}\\) forms an angle of \\( \frac {π}{3}\\). Calculate the value of \\( \overrightarrow{a}\cdot \overrightarrow{b}\\.

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