Lesson 2 · 10 min
Vectors and dot products — the intuition
Three things to internalize: vectors are arrows, dot products measure alignment, distances measure dissimilarity.
Vector = list of numbers + geometry
A vector in 768 dimensions is just 768 numbers. The geometry — direction and length — is in your head. Useful for:
- Embeddings of text or images
- Model weights
- Gradients
- Probability distributions