In mathematics, particularly linear algebra, an orthonormal basis for an inner product space "V" with finite dimension is a basis for "V" whose vectors are orthonormal, that is, they are all unit vectors and orthogonal to each other. For example, the standard basis for a Euclidean space R"n" is an orthonormal basis, where the relevant inner product is the dot product of vectors. The image of the standard basis under a rotation or reflection (or any orthogonal transformation) is also orthonormal, and every orthonormal basis for R"n" arises in this fashion.