# inner product

(50 minutes to learn)

## Summary

An inner product is a kind of mathematical operator defined on a vector space which generalizes the dot product. It can be used to generalize notions like length, orthogonality, and angles to vector spaces other than the Euclidean one.

## Context

This concept has the prerequisites:

- vector spaces (An inner product is an operation defined on a vector space.)
- dot product (The Euclidean dot product is the canonical example of an inner product.)

## Core resources (read/watch one of the following)

## -Paid-

→ Linear Algebra Done Right

A textbook for a second course in linear algebra, with mathematical generalizations of the basic concepts.

Location:
Chapter 6, "Inner product spaces," subsections "Inner products" and "Norms"

## See also

-No Additional Notes-