No, it is not.
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No, changing order of vectors in subtraction give different resultant so commutative and associative laws do not apply to vector subtraction.
It is no commutative.
division and subtraction
Addition and multiplication
All of the underneath is utter ignorance. Communitive means "of or belonging to a community" and has no algebraic meaning whatsoever.* * * * *The Communitive Property shows that a problem can have the same answer if you re-arrange the numbersCommunitive propertyA+B= B+AIt will not matter in addition how you group your numbers.Example: 5+3 + 6 =146+3+5 = 14In abstract algebra, a binary operation * has the commutative property ifa*b = b*a.For ordinary numbers, addition has the commutative property; for example 2+3 = 3+2.Subtraction does not have the commutative property, because 2 - 3 does not equal 3 - 2.Multiplication of ordinary numbers has the commutative property, as does multiplication of complex numbers.Matrix multiplication does not have the commutative property in general; there are matrices A, B such that A*B does not equal B*A.Also the vector cross product does not have the commutative property, asi x j = k, but j x i = -k.