Enhetsbasering
Enhetsbasering, in linear algebra, refers to a basis for a vector space in which each basis vector has unit length (norm 1). A unit basis does not by itself require the vectors to be mutually orthogonal, but when the vectors are also pairwise orthogonal, the basis is called orthonormal. In Euclidean spaces, an orthonormal basis simplifies many computations, while a non-orthogonal unit basis can still serve as a valid coordinate system.
In a vector space of dimension n, any basis consisting of n linearly independent vectors with norm
A key practical distinction is how coordinates are computed. If the basis is orthonormal, the coordinates of
Enhetsbasering is closely related to concepts such as basis, orthogonality, and change of basis. Techniques like