Adding vectors

Adding - Just ADD

JUST position the first vector &
ADD the second vector

Example 1

Add vector $a$ to vector $b$

Take 2 vectors one with a height of 3 and one with the height of 2

Just join the second vector up with the first vectors destination end

Place the first vector $a$ and add on the second vector.

The result is a new vector $c$

Draw a straight line from the start of the first vector to the end of the second, this is now the new vector.

NOTE:

It doesn't matter in which order you add the vectors.

Try adding $b+a$

You can add vectors in any order making the new vector the same

$a+b=c$ and $b+a=c$

ANOTHER way of showing that $a+b=b+a$ is as follows:

Example 2

$a+b=b+a$

Adding the vectors twice to make a new shape, the new resulting vector should still be the same

Example 3

You can add a vector to complete a shape, but by adding the other vectors first

Vector $r=a+b+c+d+e$

Also

You can add the previous vectors to each other in a different order and the resulting vector should be the same

Vector $r=c+a+d+b+e$

And also

Adding vectors in any order makes the resulting vector the same

Vector $r=e+c+b+d+a$

You can ADD IN ANY ORDER.