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

the speed of the motor boat, A motor boat takes Six hours to cover 100 km ...

A motor boat takes Six hours to cover 100 km downstream and 30 km  upstream. If the motor boat goes 75 km downstream and returns  back to its starting point in 8 hours, find the sp

Help with word problem, You would like to have $4000 in four years for a sp...

You would like to have $4000 in four years for a special vacation following graduation by making deposits at the end of every 6 months in an annuity that pays 7% compounded semiann

What is factoring of polynomials, What is Factoring of Polynomials? Fac...

What is Factoring of Polynomials? Factoring means much the same thing for polynomials as it does for integers. When you multiply several polynomials together, The polyn

Management, An investment manager at TD Ameritrade is making a decision abo...

An investment manager at TD Ameritrade is making a decision about a $10,000,000 investment. There are four portfolio options available and she is looking at annual return of these

Imaginay Number, how to solve imaginary number such as like (-3v-5)² ?? Can...

how to solve imaginary number such as like (-3v-5)² ?? Can I cancel the radical sign and the power of two ? and square the -3 and times to -5 ? hope you will answer this :) thanks

Equation of the plane x + 4y 3z = 1, Find the equation of the plane thro...

Find the equation of the plane through (2, 1, 0) and parallel to x + 4y   3z = 1.

Second order differential equations, In the earlier section we looked at fi...

In the earlier section we looked at first order differential equations. In this section we will move on to second order differential equations. Just as we did in the previous secti

Operations with rational numbers, larry spends 3/4 hours twice a day walkin...

larry spends 3/4 hours twice a day walking and playing with his dog. He spends 1/6 hours twice a day feeding his dog. how much time does larry spend on his dog each day?

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