What is Vector Inversion and How Does It Differ from Vector Division?

AI Thread Summary
Vector inversion refers to the concept of finding a vector's multiplicative inverse, often denoted as V^(-1), but this operation is not universally defined for vectors. Unlike scalar division, vector operations such as division or exponentiation are not standard, leading to confusion in their application. The discussion highlights that while the cross product exists for three-dimensional vectors, it does not provide a multiplicative inverse. Participants express difficulty in understanding these concepts and seek clarification on their definitions and applications. Overall, the thread emphasizes the complexity of vector operations and the need for clear definitions in mathematical contexts.
jasper353
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How do you get a vector to the power of negative one?

I.E. : V ^ (-1)?

Or inversion if that's what it's called?

Thank you.
 
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I have never seen "division", or for that matter powers or products defined for vectors. Perhaps if you told us where you saw that and the situtation involved, we could say.

In edit: It has been pointed out to me that I forgot the "cross product" of vectors- but that is only defined for three dimensional vectors and still does not have multiplicative inverses defined.
 
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I see that it is more involved than I was hoping.

I followed the thread, and the other person is,

or was, having the same difficulty as I am or were.

Thanks :). Jasper.
 

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