Calculate quaternion scalar multiplication

Online calculator for multiplying a quaternion by a real value

This function multiplies the individual fields of a quaternion by a real value.

To carry out the calculation, enter the values of the quaternion and the multiplier. Then click on the 'Calculate' button.

Empty fields count as 0.

Scalar multiplication calculator

Input
Quaternion Result
X Vector =
Y Vector
Z Vector
W Rotation
Multiplikator
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.



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 • Determinant

Matrix 4x4 Functions

Addition • Subtraction • Multiplication • Scalar Multiplication • Rotation X axis • Rotation Y axis • Rotation Z axis • Y, P, R Rotation • Vector Rotation • Invert • Determinant • interpolation

Quaternion Functions

Addition • Subtraction • Division • Multiplication • Concatenate • Length • Interpolation • Normalize • Scalar Multiplication • Dot Product • Yaw-Pitch-Roll

More 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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