0

# Do the commutative and associative laws apply to vector subtraction?

Updated: 6/14/2022

Wiki User

10y ago

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

M zain Khan

Lvl 2
1y ago

Wiki User

10y ago

No.

Earn +20 pts
Q: Do the commutative and associative laws apply to vector subtraction?
Submit
Still have questions?
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

No!!

### Does commutative law apply in the operation of sets?

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

### Why does the associative property not apply to subtraction?

Try it! You will probably get a negative number...

### What operations can assotiative communative and distributive apply to?

Associative works for addition and multiplication. Commutative works for addition and multiplication Distributive works for addition, multiplication and subtraction as well as some combinations of them, but not for division. Nothing works for division.

### Can you apply the associative property to subtraction?

No, the associative property only applies to addition and multiplication, not subtraction or division. Here is an example which shows why it cannot work with subtraction: (6-4)-2=0 6-(4-2)=4

### 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.

### Does the associative property apply to division?

there is not division for the associative property

### What is associative and commutative in 6th grade math?

You will already be familiar with binary operations such as addition and multiplication. These are called binary oprations because they are rules about combining two elements (numbers) to get a third element. The associative property for addition states that if you have two binary operations, the order in which you carry them out does not matter. Thus, (2 + 3) + 5 = 2 + (3 + 5) = 10 And similarly, for multiplication, (2 * 3) * 5 = 2 * (3 * 5) = 30 The commutative property for addition states that the order of the numbers does not matter. Thus, 2 + 3 = 3 + 2 = 5 And similarly, for multiplication, 2 * 3 = 3 * 2 = 6 Note that neither the associative nor the commuitative properties apply to subtraction or division.

### Give an example showing that the commutative property does not hold for division of whole numbers?

Here is an example: 4/2 = 2 Commutative property is when you can move numbers around in a problem, and it wouldn't change. This is why it doesn't work in division 2/4 = 1/2 The commutative property applies to only addition and multiplication. It does not apply to division or subtraction. More examples: Addition: 2 + 3 = 3 + 2 = 5 Subtraction: 2 - 3 = -1, 3 - 2 = 1 Division: (see above) Multiplication: 3(5) = 5(3) = 15

### Is division associative?

No, it is not. (12 / 6) / 2 = 1, but 12 / (6 / 2) = 4.

Yes, it does.