Axis and Angle
Taking the angle of a non-scalar quaternion, resulted in a value greater than zero and less than π.
When a non-scalar quaternion is viewed as the quotient of two vectors, then the axis of the quaternion is a unit vector perpendicular to the plane of the two vectors in this original quotient, in a direction specified by the right hand rule.
The angle is the angle between the two vectors.In symbols,
Read more about this topic: Classical Hamiltonian Quaternions, Other Operators in Detail
Famous quotes containing the words axis and/or angle:
“He is the essence that inquires.
He is the axis of the star;
He is the sparkle of the spar;
He is the heart of every creature;
He is the meaning of each feature;
And his mind is the sky,
Than all it holds more deep, more high.”
—Ralph Waldo Emerson (1803–1882)
“So much symmetry!
Like the pale angle of time
And eternity.
The great shape labored and fell.”
—N. Scott Momaday (b. 1934)