State vector law of aadition

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.

How do you do vector addition?

Triangle law of vector addition states that when two vectors are represented by two sides of a triangle in magnitude and direction taken in same order then third side of that triangle represents in magnitude and direction the resultant of the vectors.