---
tag: 0XJXTBCB2T
kind: concept
name: Orthogonal complement
msc: [15A63, 46C05]
sources:
  - url: https://en.wikipedia.org/wiki/Orthogonal_complement
    locator: Inner product spaces
same_as:
  wikidata: Q1780921
  wikipedia: Orthogonal complement
---

## Summary

The orthogonal complement of a subspace of an inner product space is the set of all vectors orthogonal to every vector of the subspace.