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No. It is the same as when you subtract normal numbers. a - b is not the same as b - a. However, if you convert the subtraction to an addition, you can use the commutative law - both with normal subtraction and with vector subtraction. That is, a - b, which can be written as a + (-b), is the same as -b + a.

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Q: Does commutative law applied to the vector subtraction?
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Related questions

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


Is commutative law applicable to vector subtraction?

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Does vector subtraction commutes?

Vector addition is basically similar, with respect to many of its properties, to the addition of real numbers.A + B = B + ASubtraction is the inverse of addition: A - B = A + (-B), where (-B) is the opposite vector to (B).A - B is not usually the same as B - A. Therefore, it is not commutative.However, if you convert it to an addition, you can apply the commutative law: A + (-B) = (-B) + A.


Are subtraction and division commutative and associative?

Subtraction is commutative... in a way. You can convert any subtraction to an addition. 7 - 2 is NOT the same as 2 - 7. However, when turning the terms around, you may keep the sign, so that 7 - 2 is the same as -2 + 7. This is justified by the commutative law of addition. Similarly with division: 10 / 2 is not the same as 2 / 10, but you can convert 10 / 2 into (1/2) x 10.


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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.


What are commutative and associative properties of addition?

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


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Does addition and subtraction of vectors obey the commutative law?

Addition does. Subtraction, just as with numbers: a - b is not equal to b - a, but you can change a - b to -b + a.Addition does. Subtraction, just as with numbers: a - b is not equal to b - a, but you can change a - b to -b + a.Addition does. Subtraction, just as with numbers: a - b is not equal to b - a, but you can change a - b to -b + a.Addition does. Subtraction, just as with numbers: a - b is not equal to b - a, but you can change a - b to -b + a.


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