Question

Are the commutative law and associative law applicable to vector subtraction

Answer 1

Cummutative law for subtraction is a-b = b-a which is not even obeyed by numbers hence vectors also do not obey as they are ultimately numbers with directions.

Associative law is (a-b)-c = a-(b-c) which is also not obeyed by numbers.

So both laws are not valid for vector subtraction.

Answer 2

Answer:

• Commutative laws say we can swap numbers, and you still get the same number when you add, for example, a+b = b+a and same for multiplication.

• Associative laws say it does not matter how we group the number final value will remain the same, for example, (a+b)+c = (a+b)+c , and same for multiplication

• Distributive laws say that we can have the same answer while multiplying a number by a group of numbers added together or multiplying them separately and then add them, For example, a x ( b+c) = axb + axc