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orthogonal basis
In mathematics, particularly linear algebra, an orthogonal basis for an inner product space is a basis for whose vectors are mutually orthogonal. If the vectors of an orthogonal basis are normalized, the resulting basis is an orthonormal basis.
==As coordinates==
Any orthogonal basis can be used to define a system of orthogonal coordinates . Orthogonal (not necessarily orthonormal) bases are important due to their appearance from curvilinear orthogonal coordinates in Euclidean spaces, as well as in Riemannian and pseudo-Riemannian manifolds.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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