Quaternion Length Calculator

The function on this page calculates the magnitude (length) of a quaternion. It can calculate the length or the square of the length.

To perform the calculation select the math function that are to be calculated and enter the quaternion values. Then click the Calculate button.

Empty fields are counted as 0.

Quaternion Length Calculator

Input

Quaternion Result

X Vector =

Y Vector

Z Vector

W Rotation

Calculation

Decimal places

Description

The quaternion represents a vector used to encode three-dimensional physical rotations. It is used to efficiently rotate an object about the (x,y,z) vector by angle theta, where:

w = cos(theta/2)

Array

W - The rotation component of the quaternion.
X - The X value of the vector component of the quaternion.
Y - The Y value of the vector component of the quaternion.
Z - The Z value of the vector component of the quaternion.

Quaternion Length Calculation