Quaternion Addition
Online calculator for adding quaternions
This page calculates the addition 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)
Componets
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.
Quaternion Addition
Addition is the simplest calculation rule for quaternions. This function adds the corresponding element of two quaternions to each element in a quaternion.
\((w_1+w_2)+i(x_1+x_2)+j(y_1+y_2)+k(z_1+z_2)\)
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
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