# Question -9

Geometry Level 4

Let $$\vec{v}=2\hat{i}+\hat{j}-\hat{k}$$ and $$\vec{w}=\hat{i}+3\hat{k}$$. If $$\vec{u}$$ is a unit vector, then find the maximum value of $[\vec{u} \quad \vec{v} \quad \vec{w}]$

$$[\vec{u} \quad \vec{v} \quad \vec{w}]$$ denotes the Scalar Triple Product.

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