Explore fundamental concepts of linear algebra in 2D and 3D spaces through this 49-minute lecture from the Engineering Mathematics course at the University of Washington. Delve into the inner product, vector norms, and cross product, gaining a solid understanding of these essential mathematical tools. Access accompanying lecture notes for enhanced comprehension and visit the course website for additional resources. Led by Steve Brunton, this lecture provides valuable insights for engineering students and professionals seeking to strengthen their mathematical foundation.