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

Calculus, I need an explanation of "the integral, from b to a, of the deriv...

I need an explanation of "the integral, from b to a, of the derivative of f (x). and, the integral from a to b. of the derivative of f(t) dt.

Linear algebra, i have question like proof, can you please help me on it?

i have question like proof, can you please help me on it?

Duality, how management making future decition by using duality

how management making future decition by using duality

what fill amount are they searching, Brewery has 12 oz bottle filling mach...

Brewery has 12 oz bottle filling machines.  Amount poured by machine is normal distribution mean 12.39 oz  SD 0.04 oz. Company is interested in in reducing the amount of extra beer

Linear programming problem, I have a linear programming problem that we are...

I have a linear programming problem that we are to work out in QM for Windows and I can''t figure out how to lay it out. Are you able to help me if I send you the problem?

What is 2^5, What is 2 5 ? 2 5 = 2 ×2 ×2 ×2 ×2 = 32

What is 2 5 ? 2 5 = 2 ×2 ×2 ×2 ×2 = 32

Progressions, The sum of the series 1+1/2+1/4+......is

The sum of the series 1+1/2+1/4+......is

Trig identities, What is the exact vale of sin(theta/2) when sintheta=3/5, ...

What is the exact vale of sin(theta/2) when sintheta=3/5, pi/2

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