answersLogoWhite

0

no the answer is no because you can fine a-b and b-a individually but in general they are not equal

By Habib

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

BeauBeau
You're doing better than you think!
Chat with Beau
JordanJordan
Looking for a career mentor? I've seen my fair share of shake-ups.
Chat with Jordan
DevinDevin
I've poured enough drinks to know that people don't always want advice—they just want to talk.
Chat with Devin

Add your answer:

Earn +20 pts
Q: Does vectors subtraction obey the associative law?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Algebra

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.


Can multiplication be distributive over subtraction?

Multiplication can be the first step when using the distributive property with subtraction. The distributive law of multiplication over subtraction is that the difference of the subtraction problem and then multiply, or multiply each individual products and then find the difference.


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.


What is thr proof of distributive law in vectors?

two numbers multiply one another


What is law of vector addition?

Let x = [x1, x2, ... xk] and y= [y1, y2, ... yk] be the two vectors of length k.Then we define their sum to be x+y = [x1+y1, x2+y2, ... xk+yk]In other words, add the corresponding elements in the two vectors.