Quaternion Normalizing
Online calculator for normalizing quaternions
This page calculates the normalization of a quaternion.
To carry out the calculation, enter the values of the quaternion. Then click on the 'Calculate' button.
Empty fields count as 0.
|
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.
X - The X value of the vector component.
Y - The Y value of the vector component.
Z - The Z value of the vector component.
Normalize
Normalization or standardization involves dividing each component of a given quaternion by its length.
This results in a new quaternion with length 1.
Matrix 3x3 Functions
Addition • Subtraction • Multiplication • Scalar Multiplication • Rotation X axis • Rotation Y axis • Rotation Z axis • Y, P, R Rotation quaternion • Y, P, R Rotation Euler angles • Invert • DeterminantMatrix 4x4 Functions
Addition • Subtraction • Multiplication • Scalar Multiplication • Rotation X axis • Rotation Y axis • Rotation Z axis • Y, P, R Rotation • Vector Rotation • Invert • Determinant • interpolationQuaternion Functions
Addition • Subtraction • Division • Multiplication • Concatenate • Length • Interpolation • Normalize • Scalar Multiplication • Dot Product • Yaw-Pitch-RollMore 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
|
|