The addition or sum of two vector and is another vector obtained from the following procedure:
1) We put after making coincide the origin of with the end of .
2) The origin of the sum is the origin of .
3) The end of the sum is the end of .
In other words, is the vector that goes from the origin of until the end of when we have put after .
If and then . In other words, .
If we add a vector with his opposite we obtain a vector reduced to a point (his origin and end coincide) it is of the null vector or zero vector that we express with :
+
(-) =
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