Mathematics - Vector Question with Solution | TestHub

Let $\vec{V}=2\hat{i}+\hat{j}-\hat{k},\vec{W}=\hat{i}+3\hat{k}$, and $|\vec{U}|=2$. If $\vec{U}$ lies in the $xy$-plane, find the greatest value of ${\left[\begin{array}{lll}\vec{U}& \vec{V}& \vec{W}\end{array}\right]}^2$.