## QUATERNION

### Quaternion

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

The above text is a snippet from Wikipedia: Quaternion

### quaternion

#### Noun

1. A group or set of four people or things.<ref name="COED-etym&sense"/>
2. A word of four syllables.
3. A four-dimensional hypercomplex number that consists of a real dimension and 3 imaginary ones (i, j, k) that are each a square root of -1. They are commonly used in vector mathematics and in calculating the rotation of three-dimensional objects.<ref name="COED-etym&sense"/>

The above text is a snippet from Wiktionary: quaternion