The VectorAngle(U, V) command computes the angle between Vectors U and V by using the formula $\arccos \left(\frac{U·V}{\mathrm{Norm}\left(U\right)\mathrm{Norm}\left(V\right)}\right)$.

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{LinearAlgebra}\right]\right)\:$

$\mathrm{V1}≔⟨1\,0\,1⟩$

$\mathrm{V1}≔\left[\begin{array}{c}1\\ 0\\ 1\end{array}\right]$

$\mathrm{V2}≔⟨1\,1\,0⟩$

$\mathrm{V2}≔\left[\begin{array}{c}1\\ 1\\ 0\end{array}\right]$

$\mathrm{VectorAngle}\left(\mathrm{V1}\,\mathrm{V2}\right)$

$\frac{\mathrm{\pi }}{3}$