Definition:Directed Line Segment

From ProofWiki
(Redirected from Definition:Directed Segment)
Jump to navigation Jump to search

Definition

A directed line segment is a line segment endowed with the additional property of direction.

It is often used in the context of applied mathematics to represent a vector quantity.



This article is complete as far as it goes, but it could do with expansion.
In particular: Perhaps the above statement should also be expanded to allow a D.L.S. to be defined as a vector quantity applied at a particular point. There is a danger (as pointed out on the Definition:Vector Quantity‎ page) of implying / believing that a vector, in general, is applied at a particular point, for example usually the origin. Thus, this page allows the opportunity to consider a definition of an object which consists of a vector "rooted" at a particular point, as a convenient fiction for what is actually happening in the context of physics.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding this information.
To discuss this page in more detail, feel free to use the talk page.
When this work has been completed, you may remove this instance of {{Expand}} from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.



This article is incomplete.
In particular: needs a picture

It may be worthwhile to point out that this can be formalized with an ordered pair.

Establish connection with Definition:Affine Space
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by expanding it.
To discuss this page in more detail, feel free to use the talk page.
When this work has been completed, you may remove this instance of {{Stub}} from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.


Also known as

A directed line segment can also be seen referred to as an oriented line segment.

Some sources use the term directed segment.


Also see

  • Results about directed line segments can be found here.


Sources

Retrieved from "https://proofwiki.org/w/index.php?title=Definition:Directed_Line_Segment&oldid=696520"