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You’ve probably never thought about how linear algebra and dot products make your phone calls possible — but they do! In this video, we’ll break down the hidden math behind audio compression, and how your phone uses vector projections and orthogonal basis vectors to send your voice with way less data. It’s a real-world application of linear algebra that shows up in everything from MP3s to cell signals. Whether you're a math student or just curious how tech really works, this one's gonna blow your mind. Dot Product Video: • What is the Dot Product and How is it... Math The World is dedicated to bringing real world math problems into the classroom and answering the age old question “when will I ever use this?” We use unique topics for algebra, trigonometry, calculus, and much more and go beyond context problems and use a technique called mathematical modeling to find solutions to real world questions and real world problems. These videos are great for students who plan to enter technical fields that require real world problem solving, and can be a great resource for teachers looking for ways to bring real world contexts into their classroom. Instagram: / maththeworld Twitter/X: / math_the_world Facebook: / maththeworldproject Email: [email protected] Created by Doug Corey Script: Doug Corey and Jennifer Canizales Audio: Doug Corey Animation: Jennifer Canizales Music: Coma Media © 2025 BYU