Vector Rotations in 3D

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.

THINGS TO TRY

SNAPSHOTS

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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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