
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 $|\overrightarrow{a} × \overrightarrow{b}| = |\overrightarrow{a}| · |\overrightarrow{b}| \sin θ$. If $\overrightarrow{a} = (1, 0)$ and $\overrightarrow{b} = (1, 1)$, find $|\overrightarrow{a} × \overrightarrow{b}| = \_\_\_\_\_\_\_\_$.

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