
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 a vector $\mathbf{v}$ in $\mathbb{R}^3$ with magnitude $\|\mathbf{v}\| = \sqrt{18}$, calculate $\left\| -\frac{3}{2} \mathbf{v} \right\|$.

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