Section 37.2 Terminology and notation
The following definitions concern vectors in an inner product space. For these definitions, there is no need to distinguish between real and complex inner product spaces.
- orthogonal vectors
a pair of vectors whose inner product evaluates to \(0\)
- orthogonal complement (of a subspace \(U\))
the collection of all vectors in the inner product space that are orthogonal to every vector in \(U\)
- \(\orthogcmp{U}\)
the orthogonal complement of \(U\)
- orthogonal set of vectors
a set of vectors in which each vector is orthogonal to each of the other vectors
- orthonormal set of vectors
an orthogonal set of vectors in which each vector is also a unit vector