<|system|>
If $\|\mathbf{v}\| = 4,$ then find $\mathbf{v} \cdot \mathbf{v}.$</s>.
<|user|>
Can you answer based on context?
<|assistant|>
Well, we know that $\mathbf{v} \cdot \mathbf{v} = \|\mathbf{v}\|^2$. So, $\mathbf{v} \cdot \mathbf{v} = (4)^2 = 16$.

