I'm working with quaternions and 4x4/3x3 matrices and I have a doubt regarding the use of them.
I think that adding and multiplying quaternions is the same as converting the quaternion to a matrix, do the operation, and then convert back to quaternion.
My question is: In what situation could adding two quaternions be a thing? I mean, when you are working with matrices and you want to "add" two rotations, you have to multiply. Am I missing something?