
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 vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ is $θ$, the "cross product" of $\overrightarrow{a}$ and $\overrightarrow{b}$, denoted as $\overrightarrow{a} × \overrightarrow{b}$, is defined as a vector with magnitude $|\overrightarrow{a} × \overrightarrow{b}| = |\overrightarrow{a}| \cdot |\overrightarrow{b}| \cdot \sin θ$. Find the magnitude $|\overrightarrow{a} × \overrightarrow{b}|$ given that $\overrightarrow{a} = (- \sqrt {3},-1)$ and $\overrightarrow{b} = (1, \sqrt {3})$.

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