This! Gibbs/Heavysides style vectors are convenient because it works with our 3D intuition, but Grassman/Clifford style works better for the differential calcu

This! Gibbs/Heavysides style vectors are convenient because it works with our 3D intuition, but Grassman/Clifford style works better for the differential calculus of gradient decent, hyper planes of DBScan, computer graphics etc... Here is a programer friendly site that may be of help for those who are interested. The geometric product being the sum of the exterior and dot products also solves a lot of things you run into with vector and tensor analysis. https://bivector.net/ https://bivector.net/