The Duality Between Quaternions and Vectors

Explore the fascinating duality between quaternions and vectors in this 16-minute video lecture. Delve into the mathematical concepts that connect these two important mathematical structures. Learn how quaternions, a number system extending complex numbers, relate to vectors in three-dimensional space. Gain insights into their applications in computer graphics, robotics, and physics. Understand the advantages and limitations of using quaternions versus vectors in various computational and theoretical contexts. Follow along as Michael Penn breaks down complex ideas into accessible explanations, providing a solid foundation for further study in advanced mathematics and its practical applications.