# COMMUTATIVE LAW AND ASSOCIATIVE LAW OF VECTOR ADDITION

COMMUTATIVE LAW
OF
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
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.

Don't be selfish...share it