Physics students screaming at vectors is basically a rite of passage. That poor vector just trying to exist in 3D space with its components (3,4,-1) while someone demands it be "normal." Honey, in linear algebra, being "normal" means having a magnitude of 1, and this vector's magnitude is โ(3ยฒ + 4ยฒ + (-1)ยฒ) = โ26 โ 5.1. To normalize it, you'd divide each component by its magnitude, but that's just too much math for a Monday morning. The vector's just living its best non-normal life, pointing wherever it damn well pleases in space. Deal with it.