Vector Normalization

Calculator and formula for normalizing a vector


The calculator on this page normalizes vectors with 2, 3 or 4 elements.

To calculate, select the number of elements (3 is the default). Enter the values and click on the 'Calculate' button.

The value 0 is assumed for empty fields.


Vector normalization calculator

Number of elements 2    3    4
Input
Vector 1 Result
=
Decimal places

Description of vector normalization


A vector in a normed vector space is called a unit vector or normed vector if its norm is one.

Normalizing a vector means that an existing vector is converted to length 1. The original direction of the vector is retained.


Vector Functions

Addition • Subtraction • Multiplication • Scalar Multiplication • Division • Scalar Division • Dot Product • Cross Product • Interpolation • Distance • Distance Squaret • Normalization • Reflection • Magnitude • Squared-Magnitude • Triple-Product

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