Embark on a mathematical journey exploring the complexities of vector multiplication in this 51-minute conference talk from Dutch Game Day 2023. Delve into the anatomy of vectors, various types of products, and the intricacies of complex numbers. Witness attempts at multiplying vectors, experience moments of frustration, and discover unexpected leaps of faith. Explore concepts such as basis vectors, dot and cross products, quaternions, and geometric algebra. Gain new perspectives on mathematical constructs used in game development, including bivectors, wedge products, and multivectors. Conclude with a Q&A session addressing practical applications and tools for implementing these concepts in game engines.