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Vector Rotations in 3D

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This Demonstration lets you locate two points on a sphere. The points form a vector that can be rotated about the , , or axes. The trace of the rotation is made using multiple vectors at 5° increments. Each of these vectors is the product of a rotation matrix (see Details) and the original vector.

Contributed by: Stephen Wilkerson (Towson University) (March 2011)
Open content licensed under CC BY-NC-SA

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Details

J. Stewart, Calculus, 5th ed., Belmont, CA: Brooks/Cole, 2003 pp. 840–842.

Rotation about the axis by :

;

rotation aboput the axis by :

;

rotation about the axis by :

.

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