Definition in Linear Algebra, Geometry, and Physics
Outside the context of quaternion theory, a versor is sometimes defined as a unit vector indicating the direction of a directed axis, or the direction of another 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.,
-
- where is the norm (or length) of .
Read more about this topic: Versor
Famous quotes containing the words definition and/or physics:
“Although there is no universal agreement as to a definition of life, its biological manifestations are generally considered to be organization, metabolism, growth, irritability, adaptation, and reproduction.”
—The Columbia Encyclopedia, Fifth Edition, the first sentence of the article on “life” (based on wording in the First Edition, 1935)
“He who is conversant with the supernal powers will not worship these inferior deities of the wind, waves, tide, and sunshine. But we would not disparage the importance of such calculations as we have described. They are truths in physics because they are true in ethics.”
—Henry David Thoreau (1817–1862)