Versor
From Wikipedia, the free encyclopedia
Versor (from Latin versus = "turned" from pp. of vertere = "to turn") is a term introduced by William Rowan Hamilton to indicate the turning factor of a quaternion.
In geometry and physics, a versor is sometimes defined as a unit vector indicating the orientation of a directed axis or vector. For instance:
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- The versors of a Cartesian coordinate system are the unit vectors codirectional with the axes of that system.
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- The versor (or normalized vector) of a non-zero vector is the unit vector codirectional with , i.e.,
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- where is the norm (or length) of .