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

Compound interest, Ask question #Minimum 100 words accMick invested $5516 i...

Ask question #Minimum 100 words accMick invested $5516 in an account at 14% compounded quarterly. Calculate the total investment after 1 years.

Linear programming , Use the simplex method to solve the following LP Probl...

Use the simplex method to solve the following LP Problem. Max Z = 107x1+x2+2x3 Subject to 14x1+x2-6x3+3x4=7 16x1+x2-6x3 3x1-x2-x3 x1,x2,x3,x4 >=0

Introduction to multiplication and division, INTRODUCTION :  When a Class ...

INTRODUCTION :  When a Class 5 child was given the problem 'If I paid Rs. 60 for 30 pencil boxes, how much did b pencil box cost?', he said it would be 60 x 30 = 1800. This

What does required to earn on his further science test in 93, Justin earned...

Justin earned scores of 85, 92, and 95 on his science tests. What does he required to earn on his further science test to have an average (arithmetic mean) of 93%? To earn an a

Exponets, what does the three mean in the power ?

what does the three mean in the power ?

Geometry Question, Does the Angle-Side Relationship Theorm work for all tri...

Does the Angle-Side Relationship Theorm work for all triangles or just a certain type of triangle? Does is correspond with the orthocenter of a triangle?

Equal groupings -categories of multiplication, Equal groupings - when we...

Equal groupings - when we want to find how many objects there are in several equal-sized sets. (e.g., if there are 3 baskets, each with 4 bananas, 4 oranges and 4 apples, respec

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