adjective
- having vectors that are both orthogonal (perpendicular) and normalized (having unit length)
Usage: mathematics; linear algebra
Examples
- The orthonormal basis vectors simplify many calculations in linear algebra.
- Each column of the matrix forms an orthonormal set.
- The Gram-Schmidt process converts any basis into an orthonormal basis.
- Orthonormal vectors are particularly useful in quantum mechanics.
- The transformation preserves the orthonormal property of the coordinate system.
- Students learn to verify that a set of vectors is orthonormal by checking both conditions.