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:
-
- The versors of a Cartesian coordinate system are the unit vectors codirectional with the axes of that system.
-
- The versor (or normalized vector)
of a non-zero vector
is the unit vector codirectional with
, i.e.,
- The versor (or normalized vector)
-
- where
is the norm (or length) of
.
- where


