Question

Does subtraction of vectors follow associative law is, (A-B)-C =A-(B-C). Here A,B & C represents A vector, B vector and C vector.

Answer 1

Yes. You can add and subtract vectors irrespective of the brackets given.

Answer 2

Vector subtraction does not follow associative law as , one can find ( A → - B → ) and B → - A → individually but in general they are not equal . So associative law does not work in vector subtraction . THIS IS BECAUSE SUBTRACTING A VECTOR IS EQUAL TO JUST ADDING THE NEGATIVE OF THAT VECTOR.