What are the method in adding vector?

Answer 1

The method in adding vectors is "add like components to likes".

For example A= Ia1 + Ja2 + Ka3 and B= Ib1 + Jb2 + Kb3 added is :
A+B= I(a1 +b1) + J(a2 + b2) + K(a3 + b3).

I, J and K are the vector components.

Physics really involves vectors V and scalars S called Quaternions Q=S +V.

The method is the same but now likes include vectors and scalars.

Q1 + Q2 = (S1 +S2) + (V1 + V2).