Definition talk:Vector Quantity

Disambiguation
As suggested by Alecscooper on GFP's talk page, there should be a disambiguation here. Due to the large amount of discussion, I haven't proceeded immediately. Rather, find below a list of different pages called Vector I propose:


 * Definition:Vector: disambiguation
 * Definition:Vector Quantity: What was described as 'directed line segment'
 * Definition:Vector (Vector Space): an element of a vector space
 * Definition:Vector (Real Euclidean Space): what we all know as a vector (i.e., something that a matrix acts on); or redirect to
 * Definition:Vector (Linear Algebra): alternative for 'Euclidean Space'

That's all I could think of. Be sure to use About. --Lord_Farin 11:10, 27 January 2012 (EST)


 * Work in progress (finally):
 * Definition:Vector Quantity stays as it is, and remains the "free vector" definition.
 * Definition:Directed Line Segment will probably be renamed to Definition:Located Vector as I have a solid definition for this with that name on it.
 * Definition:Vector (Real Euclidean Space) is being merged with Definition:Vector Quantity, and along with this there is to be a proof that the vector space $R^n$ obeys Euclidean geometry. This allows us to free up the concept of "Euclidean space" to be a metric space on $R^n$ which has the Euclidean metric applied to it. This is of course the same thing as the real vector space $R^n$ but the emphasis is on the metric rather than the shape of the space.
 * Definition:Vector (Vector Space) and its redirect target Definition:Vector (Linear Algebra) stay as they are, as elements of a general vector space.


 * The upshot of the above is that Definition:Vector (Real Euclidean Space) is being deprecated and will in due course be removed. --prime mover (talk) 13:12, 21 October 2020 (UTC)


 * Nope, changed my mind. Definition:Vector (Real Euclidean Space) defines the vector in a strictly geometrical context, and that needs to be kept. But I will subpage it to generate "plane vector" and "space vector" for the $\R^2$ and $\R^3$ versions. May also rename as necessary. --prime mover (talk) 13:33, 21 October 2020 (UTC)