Addition of two vectors:
Triangle law of addition:
Parallelogram law of addition:
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The sum can be obtained by bringing the initial points of  and  together and then completing parallelogram OACB
Note that addition is commutative i.e., 
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Also, 
that is the addition of vectors obeys the associative law. If and are collinear, their sum is still obtained in same manner although we do not have triangle or parallelogram in this case.
Polygon law of addition:
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For adding more than 2 vectors, we have a polygon law of addition which is an extension of triangle law.
A consequence of this is that, if terminus of last vector coincides with initial point of the 1st vector, the sum of the vectors is  . To obtain  (difference of 2 vectors), perform addition of and (- ).
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