Wait till you cover Lagrangian mechanics and Noether's theorem. It grants you access to much more complex physical systems, with only a touch more algebra to work through.Definitely. Gauss's Law makes it seem like it's easier than remembering your name, lol
The equations there might not mean much if you haven't studied Lagrangians yet, but you can see clearly it's just a basic performance of finding derivatives and doing a bit of algebra.
Lots of stuff here too: http://coffee.ncat.edu:8080/Flurchick/Lectures/PhysicalMechanicsII/Section3/Appendix3-1.html
It basically lets you write equations for 3D mechanical systems, with way less difficulty than the old f=ma setup.