If you have 3 vectors that form a triangle with normal $n$, the image of those 3 vectors under the linear map form a triangle whose normal is the image of $n$
Anyways I come here because I have the opportunity to take linear algebra and diff eq next year at a local college and I don't know if that's a good idea. I know if I don't do that I'm not gonna have any math classes and I won't have any motivation to learn on my own
Everything in physics and chem seems like just a huge mess of a bunch of super tiny things interacting with each other at every point in time and properties just arise from that
And no matter how in depth you go, for a high school course there will always be a point where you just have to accept that that is just how things are instead of looking further into why that's the ase