
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 the angle between vector $\overrightarrow{a}$ and vector $\overrightarrow{b}$ is $\theta$, the cross product of vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ is defined as $\overrightarrow{a} \times \overrightarrow{b}$, which is a vector with magnitude $|\overrightarrow{a} \times \overrightarrow{b}| = |\overrightarrow{a}||\overrightarrow{b}| \sin \theta$. If $\overrightarrow{m} = (1,0)$ and $\overrightarrow{n} = (-1,\sqrt{3})$, calculate the magnitude of the cross product $|\overrightarrow{m} \times \overrightarrow{n}|$.

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