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Quaternion Modulus

Calculate modulus of quaternion


Utilities/Math Operations


The Quaternion Modulus block calculates the magnitude for a given quaternion.

The quaternion has the form of


The quaternion modulus has the form of


Inputs and Outputs

InputDimension TypeDescription


Quaternion or vectorContains quaternions in the form of [q0, r0, ..., q1, r1, ... , q2, r2, ... , q3, r3, ...].

OutputDimension TypeDescription


Quaternion modulus or vectorContains quaternion modulus or vector of quaternion modulus in the form of [|q|, |r|, ...].


Stevens, Brian L., Frank L. Lewis, Aircraft Control and Simulation, Wiley–Interscience, 2nd Edition.

Introduced before R2006a

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