---
tag: 0NB0AWGJBW
kind: concept
name: Inner product
msc: [15A63, 46C05]
sources:
  - url: https://en.wikipedia.org/wiki/Inner_product_space
    locator: Definition
---

## Summary

An inner product on a real or complex vector space is a function of two vectors.
It is linear in the first vector, conjugate symmetric, and positive on nonzero vectors.