The VectorAngle(U, V) function computes the angle between Vectors U and V by using the formula $\arccos \left(\frac{\mathrm{DotProduct}\left(U\,V\,c\right)}{\mathrm{VectorNorm}\left(U\,2\right)\mathrm{VectorNorm}\left(V\,2\right)}\right)$. The default value for the conjugate option c is true.

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

$\mathrm{V1}≔⟨1\,0\,1⟩$

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

$\mathrm{V2}≔⟨1\,1\,0⟩$

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

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

$0$

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

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