Question

give two properties of vector addition

Answer 1

   

PROPERTIES OF VECTOR ADDITION

 

COMMUTATIVE LAW
OF
VECTOR ADDITION

Consider two vectors and  . Let these two vectors represent two adjacent sides of a parallelogram. We construct a parallelogramOACB 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