Why is vector division undefined, Mathematics

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.

Posted Date: 8/20/2012 4:24:31 PM | Location : United States







Related Discussions:- Why is vector division undefined, Assignment Help, Ask Question on Why is vector division undefined, Get Answer, Expert's Help, Why is vector division undefined Discussions

Write discussion on Why is vector division undefined
Your posts are moderated
Related Questions

In a class,there are 174 students in form three,86 students play table tennis,84 play football and 94 play volleyball,30 play table tennis and volleyball,34 play volleyball and foo

what is the importance of solid mensuration?

Evaluate following limits. (a) (b)    Solution There in fact isn't a whole lot to this limit. In this case because there is only a 6 in the denominator we'l

We will firstly notice the undamped case. The differential equation under this case is, mu'' + ku  = F(t) It is just a non-homogeneous differential equation and we identify h

Simplify the following expression and state the coefficient of each variables (a)6m-4-2m+15 (b)4x+6y-3x+5y

Characteristics of Time Series Time series has the given characteristics. a) A long term trend (T) -tendency of the whole series to fall and rise. b) Seasonal variati

850ml is to be administered to a person over 8 hours using a drop factor of 20 drops/ml what is the flow rate in gtts/min ?

Calculate the Probability A bag contains 80 balls of such 20 are red, 25 are blue and 35 are white.  A ball is picked at random what is the probability that the ball picked is

Q. How to Left shifts and right shifts a graph? Ans. When you're translating (shifting) a graph, it's easy to get subtracting and adding mixed up. It seems counter-intuiti