We know that law of vector additin is commutative as well as associative but what is the difference between commutative and associative?

Asked by madhaviaecs | 19th Jul, 2015, 10:24: AM

Expert Answer:

Vector addition is commutative as well as associative.
These both entities are similar but not the same.
Commutative association involves adding two vectors whereas associative assoiciation involves adding three vectors.
Commutative law: It says that you can swap the two vectors and still end up having the same vector.
A + B = B + A
Associative law: It says that no matter in what order you add three vectors, the result will still be the same.
(A + B) + C = A + (B + C) = B + (A + C)

Answered by Romal Bhansali | 19th Jul, 2015, 12:00: PM