
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
A particle is in equilibrium under the action of three forces $F_1$, $F_2$, and $F_3$ (unit: Newtons) on the same plane. It is known that $F_1$ and $F_2$ form a 120° angle and that the magnitudes of $F_1$ and $F_2$ are both 6 Newtons. The magnitude of $F_3$ is $\_\_\_\_$ Newtons.

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