rotVecAroundArbAxis​(unitVec2Rotate,rot​ationAxisUnitVec,th​eta)

Vectorized 3-D rotation of any vector around an arbitrary axis

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This routine will allow a 3-D unit vector to be rotated around a 3-D axis defined by the user. This is performed by first rotating the unit vector around it's own cartesian axis (in this case we will rotate the vector around the z-axis, [0 0 1]) corresponding to each rotation angle specified by the user. This rotated vector is then transformed around the user defined axis of rotation.
To see a demonstration, simply run the following command in your MATLAB command prompt:
>> rotVecAroundArbAxis();

Cite As

Darin Koblick (2026). rotVecAroundArbAxis(unitVec2Rotate,rotationAxisUnitVec,theta) (https://www.mathworks.com/matlabcentral/fileexchange/49916-rotvecaroundarbaxis-unitvec2rotate-rotationaxisunitvec-theta), MATLAB Central File Exchange. Retrieved .

Acknowledgements

Inspired by: Efficient Vector Rotation Matrix Routine

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General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.1.0.0

Added graph of outputs
Added an additional rotation upfront to ensure that the rotation about the z-axis is consistent.

1.0.0.0