The Normalize(V) command returns a Vector in which each component of V has been divided by the Euclidean (2)-norm of V.

Note: The default norm in the top-level LinearAlgebra package is the infinity norm.

An alternate norm can be selected by using the Normalize(V, p) form of the calling sequence.

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

$\mathrm{Normalize}\left(⟨3\,0\,4⟩\right)$

$\left[\begin{array}{c}\frac{3}{5}\\ 0\\ \frac{4}{5}\end{array}\right]$

$V≔⟨1.55\left|1.56\right|1.53⟩$

$V≔\left[\begin{array}{ccc}1.55& 1.56& 1.53\end{array}\right]$

$\mathrm{Normalize}\left(V\,1\right)$

$\left[\begin{array}{ccc}0.3340517242& 0.3362068966& 0.3297413793\end{array}\right]$