Why is vector division undefined, Mathematics

Assignment Help:

Division basically refers to multiplication of reciprocal. For example a/b is same as a*1/b or we can say, is same as a*b-1, which is "a" multiplied to the inverse of "b". There is no way of finding an inverse to a vector, and even if you could, you cant necessarily know if division in case of vectors implies left multiplication of inverse or right multiplication of inverse as we know that multiplication is not commutative in case of vectors i.e. AB≠BA where A,B are vectors. Hence, division of vectors is not defined.

If A and B are vectors, A/B could be AB-1 or it could be B-1A. Which way we mean isnt certain, and commutativity is an issue. And then finding b-1 is also an issue. Therefore A/B cannot be found out.


Related Discussions:- Why is vector division undefined

Quadratic equations by completing the square method, Can we solve the Quadr...

Can we solve the Quadratic Equations by completing the square method? if yes explain it.

How do you traverse a binary tree, How do you traverse a Binary Tree?  Desc...

How do you traverse a Binary Tree?  Describe Preorder, Inorder and Postorder traversals with example.     Ans: Traversal of tree means tree searching for a aim. The aim may be

Logarithmic functions, y=log4(x). i am unsure what this graph is supposed t...

y=log4(x). i am unsure what this graph is supposed to look like?

Application of statistics-economic order quantities (eoq), economic order q...

economic order quantities (EOQ) Statistics may be utilized in ordering or making economic order quantities as EOQ. It is significant for a business manager to understand that

Quardrilatrel, construct aquadrilaterl PQRSin which pq=3.5cm qr=6.5cm ,p=60...

construct aquadrilaterl PQRSin which pq=3.5cm qr=6.5cm ,p=60 ,q=105 ,s=75

Determine boolean conjunctive query are cyclic or acyclic, Are the followin...

Are the following Boolean conjunctive queries cyclic or acyclic? (a) a(A,B) Λ b(C,B) Λ c(D,B) Λ d(B,E) Λ e(E,F) Λ f(E,G) Λ g(E,H). (b) a(A,B,C) Λ b(A,B,D) Λ c(C,D) Λ d(A,B,C,

Comparing and scaling, a dairy mngr says it takes 70lbs of make 10 lbs of c...

a dairy mngr says it takes 70lbs of make 10 lbs of cottage cheese... How do I make a rate table and a make a graph showing the relationship between lbs of milk and lbs of cottage c

Evalute right-hand limit, Evaluate following limits. Solution ...

Evaluate following limits. Solution Let's begin with the right-hand limit.  For this limit we have, x > 4  ⇒          4 - x 3   = 0      also, 4 - x → 0  as x → 4

What is the percent of increase heating oil, The price of heating oil rose ...

The price of heating oil rose from $1.10 per gallon to $1.43 per gallon. What is the percent of increase? The price of heating oil rose $0.33 ($1.43 - $1.10 = $0.33). To ?nd ou

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd