Definition, Meaning & Synonyms
orthonormal
Adjective
/ɔːrˈθoʊˌnɔːr.məl/
Definition
Relating to a set of vectors that are both orthogonal (perpendicular) and normalized (having a unit length).
Examples
- The vectors in the orthonormal basis are crucial for simplifying complex problems in physics.
- In quantum mechanics, states are often represented using orthonormal vectors.
- The computer graphics engine uses an orthonormal set of directions for processing rotations.
Meaning
In mathematics, particularly in linear algebra, orthonormal refers to vectors that are at right angles to each other and have a magnitude of one.
Synonyms
- Unit orthogonal
- Normalized orthogonal
