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Grade: 11

                        

why is vector division undefined?

8 years ago

Answers : (4)

Deepali Singh
32 Points
							

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.

8 years ago
Kolla Raja Sekhar
51 Points
							

as a vector has direction

8 years ago
sai nath
33 Points
							

when direction can be multiplied.then it should also be divided.

8 years ago
KAPIL MANDAL
132 Points
							
Later in solid state physics, you will see it practically. 
5 years ago
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