(1.3 hours to learn)
The dot product is an operation on vectors. It is used to define notions such as vector length, perpendicular vectors, and angles between vectors.
This concept has the prerequisites:
- vectors (The dot product is defined on vectors.)
Core resources (read/watch one of the following)
→ 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
- 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.
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