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

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