- The quaternion allows rotation about a 3D direction vector, rather than as a combo of rotations about the x, y, & z axes (i.e. Euler rotations).[br]- This worksheet visualizes the direction vector and associated plane of rotation (perpendicular to the vector).[br]- Use the 'Trace' checkbox for greater insight.[br]- The 'Scale...', & 'Set radius...' sliders adjust the unit quaternion.[br][br]- To orbit in 3D Window, use R-Click.[br]- To see the underlying matrices, etc., download the GGB and look into the Algebra Window.[br]- Check out the Spreadsheet Window for the matrices.[br][br]*Based on the excellent worksheet by Christopher Coulombe at [url]https://tube.geogebra.org/material/show/id/1140681[/url].