
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 $\overrightarrow{e_1}, \overrightarrow{e_2}$ are mutually perpendicular unit vectors, the angle between the vector $\sqrt{3}\overrightarrow{e_1}-\overrightarrow{e_2}$ and the vector $\sqrt{3}\overrightarrow{e_1}+\overrightarrow{e_2}$ is      (expressed in radians).

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