Clifford’s geometric algebra/calculus is a much better fit than the Gibbs/Heaviside concept of "vector" analysis for doing electrodynamics problems. Especially

Clifford’s geometric algebra/calculus is a much better fit than the Gibbs/Heaviside concept of "vector" analysis for doing electrodynamics problems. Especially if you try to handle quantum mechanics and special relativity. Cross products, pseudovectors, etc. are tremendously confusing for students. Then throwing it all out the following school term in favor of cumbersome matrix representations makes things even worse. I suspect if Clifford had lived past ~35 years old we would have avoided a lot of the confusion of the 20th century.