hey everyone,

so i've been doing vectors for quite some time now and eventhough i excel at vectors and calculus 3, what exactly is the point of having unit vectors. Why can't we just right them as normal vectors especially when i get to binormals and stuff, they always want unit vectors. Also, if you take the cross product of two unit vectors, do you end up with a unit vector. if not, can you please explain why not

Thanks alot