Normalizing Vectors

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

A nonzero vector is normalized by dividing it by its length. The resulting vector has length 1 and lies in the same direction.


In 2D, the length of is given by Pythagoras's formula: .

In 3D, the length of is .

In any dimension, the normalized vector of is .


Contributed by: George Beck (March 2011)
Open content licensed under CC BY-NC-SA



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.