

COMMUTATIVE
LAW
OF VECTOR ADDITION 

Consider two vectors and . Let these two vectors represent two adjacent sides of a parallelogram. We construct a parallelogram  
OACB as shown in the diagram. The diagonal OC represents the resultant vector  



From above figure it is clear that:  
This fact is referred to as the commutative law of vectr addition .  
ASSOCIATIVE
LAW
OF VECTOR ADDITION 

The
law states that the sum of vectors remains same irrespective of their order
or grouping in which they are arranged. Consider three vectors , and 

Applying "head to tail rule" to obtain the resultant of (+ ) and (+ )  
Then finally again find the resultant of these three vectors :  
This fact is known as the ASSOCIATIVE LAW OF VECTOR ADDITION.  
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