So for example, let's suppose I have two vectors, V1 and V2 as shown here.

The summation of them is given by this here.

So in this case V is the resultant of those two vectors or the sum of them.

And we can also obtain this by vector addition,

just adding the vectors head to tail.

So V1 plus V2 here.

And the summation of those two is, the final line, which closes the polygon,

or the triangle in this case, is V, is therefore the summation, or the resultant,

which you can see, is exactly the same that we get by forming the resultant here.

But again, we can do this by simply adding the individual x and y components.

So if V1 is given by ivx one plus jv one one etcetera then

the summation of those vectors is simply the summation of the individual components

vx one by vx two and the j component, vy one plus vy two.