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Q: Why cross product does not obey commutative law?
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Why cross product does not obey commutative property?

The cross product of two vectors is defined as a × b sinθn Where the direction of Cross product is given by the right hand rule of cross product. According to which stretch the forefinger of the right hand in the direction of a and the middle finger in the direction of b. Then, the vector n is coming out of the thumb will represent the direction. As direction of a × b is not same to b × a. So it does not obey commutative law.


Does the subtraction of two vectors obey the commutative law?

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


If the commutative law not hold in cross product then prove it?

Actually The cross product of two vector is a VECTOR product. The direction of a vector product is found by the right hand rule. Consider two vectorsA and B,AxB= CWhere C is the Cross product of A and B, and by right hand rule its direction is opposite to that of BxA that isBxA=-C


What states that the product does not change when you change the order of the factors?

The Commutative Law of Multiplication


Explain associative and commutative?

Commutative law: The order of the operands doesn't change the result. For example, 4 + 3 = 3 + 4. Associative: (1 + 2) + 3 = 1 + (2 + 3) - it doesn't matter which addition you do first. Both laws are valid for addition, and for multiplication (as these are usually defined, with numbers. However, special "multiplications" have been defined that are not associative, or not commutative - for example, the cross product of vectors, or multiplication of matrices are not commutative.


What property states that changing the order of factors does not the product?

commutative law of multiplication a x b = b x a


What are the groups in commutative nouns?

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.


What are commutative and associative properties of addition?

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


What law illustrated by x plus 4 is the same as 4 plus x?

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


What is the commutative law of multipulcation?

sex


Does commutative law apply in the operation of sets?

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


Example of mathematical scientific law?

A simple law is the commutative addition law.