Answer: Hello mate!
suppose we have two vectors:
A = (a₁, a₂, ..., aₙ)
B = (b₁, b₂,.....,bₙ)
Then A + B = (a₁ +b₁, a₁ +b₂, ......, aₙ + bₙ)
Let's do a more geometric way:
Now suppose you have two vectors and you want to add them.
You need to graph one of the vectors that starts at the zero of your axis, and then you need to graph the second vector starting from the tip of the previous vector.
Now te vector created between the start of the first vector and the tip of the second vector is equal to the sum of both vectors.
You can see that the order in this operation does not matter, it does not affect if you change the order of the vectors.