Quaternion

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In mathematics, the quaternions are a number system that extends the complex numbers.

Description

They were first described by Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space.

A feature of quaternions is that multiplication of two quaternions is noncommutative.

Hamilton defined a quaternion as the quotient of two directed lines in a three-dimensional space or equivalently as the quotient of two vectors.

See also

External links