---
tag: 0S9GGTR0EX
kind: concept
name: Orthonormal basis
msc: [15A63, 46C05]
sources:
  - url: https://en.wikipedia.org/wiki/Orthonormal_basis
    locator: lead section
same_as:
  wikidata: Q2365325
  wikipedia: Orthonormal basis
---

## Summary

An orthonormal basis of a finite-dimensional inner product space is a basis whose vectors have length one and are pairwise orthogonal.