Orthonormal vectors
Vectors are orthonormal when they are orthogonal unit vectors.
Orthonormal bases
For orthonormal in ,
which is equivalent to choosing Cartesian axes along these directions, so is an orthonormal basis. Under , the standard basis of is likewise orthonormal.
Related
Stated in
- Definition 2.14 (Orthonormal)§2.3 Orthonormal Bases