This is a tutorial for using the dot product and the cross product, applied to a simple pair of vectors. This does not go into why we define the vector products this way, but how to use them. I liken this to, 'this teaches you how to drive, not why the engine of the car works.' That is saved for Calc. 3. If time allows I might be able to upload a bit more of a deep dive soon, but this should get you started for what you need in an introductory physics course.