# dot product

(1.3 hours to learn)

## Summary

The dot product is an operation on vectors. It is used to define notions such as vector length, perpendicular vectors, and angles between vectors.

## Context

This concept has the prerequisites:

- vectors (The dot product is defined on vectors.)

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

## -Free-

## -Paid-

→ Introduction to Linear Algebra

An introductory linear algebra textbook with an emphasis on numerical methods.

Location:
Section 1.2, pages 11-17

→ Multivariable Mathematics

A textbook on linear algebra and multivariable calculus with proofs.

Location:
Section 1.2, "Dot product," pages 8-13

## See also

- The dot product can be used to define matrix multiplication .
- Inner products are generalizations of the dot product to other vector spaces.
- The dot product is used to define the Euclidean vector norm, but there are other vector norms as well.