Theory of Intelligence
MATH FOR AI•Linear Algebra•Vectors•1.3 Dot Product

Introduction

The dot product as a sum of products, its geometric meaning, and why ML uses it everywhere.

Introduction

So far we can add and scale vectors, but we cannot yet compare them. The dot product takes two vectors and returns a single number that measures how much they "agree". It powers similarity search, attention in Transformers, linear models, and projections.

Discuss theoretical concepts, mathematical formulas, and architectural foundations.

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