
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 the definition: $| \overrightarrow{a} \times \overrightarrow{b} | = | \overrightarrow{a} | \cdot | \overrightarrow{b} | \cdot \sin \theta$, where $\theta$ is the angle between vectors $\overrightarrow{a}$ and $\overrightarrow{b}$. If $| \overrightarrow{a} | = 2$, $| \overrightarrow{b} | = 5$, and $\overrightarrow{a} \cdot \overrightarrow{b} = -6$, find the value of $| \overrightarrow{a} \times \overrightarrow{b} |$.

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