Quaternion Concatenation

Online calculator for calculating the concatenation of quaternions

On this page the concatenation of two quaternions is calculated.

To calculate, enter the values of the quaternions and then click on the 'Calculate' button.

Empty fields count as 0.

Calculate concatenation

Input
Quaternion 1 Quaternion 2 Result
X =
Y
Z
W
Decimal places

Description


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

w = cos(theta/2)

Components

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


Concatenate

Concatenates two quaternions. Computes a new quaternion that represents the concatenation of the quaternion1 rotation followed by the quaternion2 rotation.

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