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

Trigonometry, important trigonometric formulas for class 10th CBSC board

important trigonometric formulas for class 10th CBSC board

If the squared difference of the zeros find the value of p, If the squared ...

If the squared difference of the zeros of the quadratic polynomial x 2 + p x + 45 is equal to 144 , find the value of p.

Horizontal asymptote, The horizontal asymptote of (16x+7)(x^2-5)/(x^2+36).

The horizontal asymptote of (16x+7)(x^2-5)/(x^2+36).

4.4238/[1.047+{1.111*[9.261/7.777]}*1.01, Ask question #Min 4.4238/[1.047+{...

Ask question #Min 4.4238/[1.047+{1.111*[9.261/7.777]}*1.01

Permutation, HOW MANY number laying between 100 and 1000 can be formed with...

HOW MANY number laying between 100 and 1000 can be formed with 0,1,2,3,4,5 and also divisible by 5 with distinct digit

Differential equations, Verify Liouville''''''''s formula for y "-y" - y'''...

Verify Liouville''''''''s formula for y "-y" - y'''''''' + y = 0 in (0, 1) ?

What is equivalent of this temperature in degrees fahrenheit, The temperatu...

The temperature in Hillsville was 20° Celsius. What is the equivalent of this temperature in degrees Fahrenheit? This problem translates to the expression 3 {[2 - (-7 + 6)] + 4

Erp for a company, recomendation to a company to implement ERP to succeed

recomendation to a company to implement ERP to succeed

Graph, Graph A graph G = (V, E) contains a (finite) set that is denote...

Graph A graph G = (V, E) contains a (finite) set that is denote by V, or by V(G) if one wishes to make clear which graph is under consideration, and a collection E, or E(G), o

Solving trig equations with calculators part ii, Solving Trig Equations wit...

Solving Trig Equations with Calculators, Part II : Since this document is also being prepared for viewing on the web we split this section into two parts to keep the size of the

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