---
tag: 0B8KZRT28M
kind: concept
name: Orthogonal projection
msc: [15A04, 46C05]
sources:
  - url: https://en.wikipedia.org/wiki/Projection_(linear_algebra)
    locator: Orthogonal projections
---

## Summary

The orthogonal projection onto a subspace $W$ sends each vector to the unique vector of $W$ whose difference with it is orthogonal to $W$.