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Does vector subtraction commutes

Shahuni ∙

Lvl 1

∙ 11y ago

Updated: 8/20/2019

Vector addition is basically similar, with respect to many of its properties, to the addition of real numbers.

A + B = B + A
Subtraction 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.

Wiki User

∙ 11y ago

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Related Questions

What is the opposite to vector addition?

the opposite to vector addition is vector subtraction.

Is vector subtraction commutative?

No, it is not.

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

Do the commutative and associative laws apply to vector subtraction?

No, changing order of vectors in subtraction give different resultant so commutative and associative laws do not apply to vector subtraction.

Is commutative law applicable to vector subtraction?

NO

Is it possible for vector A plus vector B to equal vector A - vector B?

It's impossible as the addition of two vectors is commutative i.e. A+B = B+A.For subtraction of two vectors, you have to subtract a vector B from vector A.The subtraction of the vector B from A is equivalent to the addition of (-B) with A, i.e. A-B = A+(-B).

Does commutative law applied to the vector subtraction?

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.

What is the reverse process of vectors addition?

reverse process of vector addition is vector resolution.

Use commutes in a sentence?

John commutes to work every morning.

Can you use commutes in a sentence?

He commutes from the suburbs to the city everyday for his job.

Why is it important that momentum id a vector?

It is important that momentum is a vector because it has both magnitude and direction. This enables us to analyze how an object's motion changes in response to external forces. By treating momentum as a vector, we can apply principles of vector addition and subtraction to better understand the overall motion of an object.

How do you explain subtraction of vectors with one example?

Similar to subtraction of real numbers, to subtract a vector means to add the opposite vector. Here is an example: Subtract (5, 3) - (2, -2) This is equivalent to (5, 3) + (-2, 2) Add by components: (5-2, 3+2) = (3, 5)

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