
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 vectors \\(\overrightarrow{a}\\) and \\(\overrightarrow{b}\\) have an angle of \\(120^\circ\\) between them, with \\(|\overrightarrow{a}|=1\\) and \\(|\overrightarrow{b}|=3\\), calculate \\(\left| \overrightarrow{a}-\overrightarrow{b} \right|\\).

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