Quaternion subtraction
Online calculator for subtracting quaternions
This page calculates the subtraction of two quaternions.
To calculate, enter the values of the quaternions and then click on the 'Calculate' button.
Empty fields count as 0.
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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.
Subtraction
For subtraction, the individual components of the second quaternion are separated from the corresponding components in the first quaternion are subtracted.
\((w_1-w_2)+i(x_1-x_2)+j(y_1-y_2)+k(z_1-z_2)\)
More Quaternion Functions
Addition • Subtraction • Division • Multiplication • Concatenate • Length • Interpolation • Normalize • Scalar Multiplication • Dot Product • Yaw-Pitch-Roll
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