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In this video I break down Vectors — intuition, formal math, python code, and exactly where they appear in real machine learning systems. ⏱ CHAPTERS: 0:00 — Introduction 1:29 — Layer 1: Intuition — What is a vector, really? 4:20 — Layer 2: Formal Math — Vector addition, scalar multiplication, Dot product, magnitude, cosine similarity 9:07 — Layer 3: Python — NumPy vector operations from scratch 13:03 — Layer 4: AI Application — Word embeddings and cosine similarity in NLP 21:03 — What's next 📚 FULL SERIES PLAYLIST: https://www.youtube.com/playlist?list=PLCkWQeIRaHTzRKwaPLvE4vo6mwFNOSBjD 🔗 FREE RESOURCES: Mathematics for Machine Learning (free): https://mml-book.github.io Deep Learning Book (free): https://deeplearningbook.org 3Blue1Brown: https://youtube.com/3blue1brown NumPy Docs: https://numpy.org/doc PyTorch Docs: https://pytorch.org/docs ───────────────────────────────────── ABOUT THIS CHANNEL ───────────────────────────────────── Bishir Tijjani: AI, Machine Learning, and Computer Science explained properly. Theory, code, and real applications. New video every day. Subscribe so you don't miss one. ───────────────────────────────────── CONNECT ───────────────────────────────────── Twitter: @BishirTM TikTok: @BishirTijjani LinkedIn: @BishirTijjani Business Email: bishirtijjani247@gmail.com