https://en.wikipedia.org/wiki/Rotation_matrix would be a great place to start to get a good idea of how you can use a rotation matrix to rotate a vector in 2 or 3 dimensions.

https://stackoverflow.com/questions/22099490/calculate-vector-after-rotating-it-towards-another-by-angle-θ-in-3d-space This post seems to be roughly what you’re looking for.

Yah, it’s hard to balance gate-keeping with moderation.

I really wish the average poster here and across other AI and ML subreddits knew a little more about the specification between the two. I know it can get murky, but I anecdotally feel like a lot of people think AI is just a bunch of random forests, neural nets, and LLMs.