Normalize

Normalize[v] gives the unit vector in the direction of vector v. For complex numbers, returns z/Abs[z].

Examples

Normalize vectors:

Normalize[{3, 4}]
(* {3/5, 4/5} *)

Normalize[{1, 1, 1}]
(* {1/Sqrt[3], 1/Sqrt[3], 1/Sqrt[3]} *)

(* Verify unit length *)
Norm[Normalize[{1, 2, 3}]]
(* 1 *)

Please visit the official Wolfram Language Reference for more details.