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Linear Algebra

Dot Product

A practical path to understand how vectors relate using the dot product.
Goal:
Learn how the dot product measures similarity and angle between vectors
3Lessons
6Micro-lessons
Not setDifficulty
Lesson 1

Thinking with Vectors

Build intuition about direction and alignment.
Start2 Micro-lessons

Micro lesson 1
Same Direction or Not
Micro lesson 2
Opposite Movement
Lesson 2

How the Dot Product Behaves

Understand cause and effect inside the operation.
Start2 Micro-lessons

Micro lesson 1
Why Size Matters
Micro lesson 2
When the Result Becomes Zero
Lesson 3

Using the Dot Product

Apply the idea to angles and similarity.
Start2 Micro-lessons

Micro lesson 1
Reading the Angle
Micro lesson 2
Measuring Similarity