If you want to have a better feel for how cubic beziers work, I recommend checking outthis desmos link. Play around with the control points and check how the animation changes through time. (Note that the animation in the link is represented by the black line.) MeetSmashing Workshopsonfron...
Check out this Desmos graphic to see this interactively. I admit I often come to play with it when I need to refresh my understanding of the two products. It is crucial that you have a basic intuition about the dot and cross products if you are to follow the rest of this tutorial. I...