Q: How do you prove the commutative law?

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Both union and intersection are commutative, as well as associative.

A simple law is the commutative addition law.

NO

2a+3

Yes subtraction of vector obeys commutative law because in subtraction of vector we apply head to tail rule

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The term commutative group is used as a noun in sentences. A commutative group is a group that satisfies commutative law in mathematics. Commutative law states that we can swap numbers of problem when adding or multiplying.

Commutative Law: a + b = b + a Associative Law: (a + b) + c = a + (b + c)

It is not a law. It is the commutative property of numbers over addition.

sex

Both union and intersection are commutative, as well as associative.

A simple law is the commutative addition law.

NO

2a+3

Commutative Law: a + b = b + a or a × b = b × a

Yes subtraction of vector obeys commutative law because in subtraction of vector we apply head to tail rule

For any three numbers a, b, and c:a + b = b + a (commutative law)(a + b) + c = a + (b + c) (associative law)Both the commutative and associative laws are also valid for multiplication.a x (b + c) = (a x b) + (a x c) (distributive law)For any three numbers a, b, and c:a + b = b + a (commutative law)(a + b) + c = a + (b + c) (associative law)Both the commutative and associative laws are also valid for multiplication.a x (b + c) = (a x b) + (a x c) (distributive law)For any three numbers a, b, and c:a + b = b + a (commutative law)(a + b) + c = a + (b + c) (associative law)Both the commutative and associative laws are also valid for multiplication.a x (b + c) = (a x b) + (a x c) (distributive law)For any three numbers a, b, and c:a + b = b + a (commutative law)(a + b) + c = a + (b + c) (associative law)Both the commutative and associative laws are also valid for multiplication.a x (b + c) = (a x b) + (a x c) (distributive law)

4+m