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

Circls, in a given figure a,b,c and d are points on a circle such that ABC ...

in a given figure a,b,c and d are points on a circle such that ABC =40 and DAB= 60 find the measure of DBA

Find out the x-intercepts, Find out the x-intercepts & y-intercepts for eac...

Find out the x-intercepts & y-intercepts for each of the following equations.                            y =x 2 +x - 6 Solution As verification for each of these we wil

Algebraic expression, i dont understand what my teacher disccussing thats w...

i dont understand what my teacher disccussing thats why i want to learn for this lesson. i want to ask'' what is the variables?

What is the probability in which she gets heads further flip, Jennifer ?ipp...

Jennifer ?ipped a coin three times and got heads each time. What is the probability in which she gets heads on the further ?ip? The probability of heads does not modify based o

Explain different base numbers, Explain Different Base Numbers? In mult...

Explain Different Base Numbers? In multiplying or dividing two exponential expressions with different base numbers, write out the exponential expressions as products. Since

Shares and dividends, to use newspaperto study and report on shares and div...

to use newspaperto study and report on shares and dividend

Algebra, (x+15)/y=10 where y=5

(x+15)/y=10 where y=5

Matrix, matrix of [1 4 ] [a b]=4/9

matrix of [1 4 ] [a b]=4/9

What was brian''s total commission on these three sales, Brian is a real es...

Brian is a real estate agent. He forms a 2.5% commission on each sale. During the month of June he sold three houses. The houses sold for $153,000, $299,000, and $121,000. What was

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