My Math Forum What is line vector?

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 June 26th, 2017, 08:43 PM #1 Newbie   Joined: Jun 2017 From: Earth Posts: 17 Thanks: 0 What is line vector? I am reading a book on vector analysis, but the statement defining "line vector" confuses me because I can't catch the author's English, especially "forms a part". Following is a screenshot of this definition of line vector in the text, highlighted by a red line. Could you please tell me what a line vector is according to the text? Thanks a lot. Last edited by skipjack; June 27th, 2017 at 12:44 AM.
 June 26th, 2017, 09:44 PM #2 Global Moderator   Joined: Dec 2006 Posts: 19,168 Thanks: 1640 The term is "line vector", not "linear vector".
 June 27th, 2017, 12:31 AM #3 Newbie   Joined: Jun 2017 From: Earth Posts: 17 Thanks: 0 I can't find "Edit", you are a moderator, can you edit it?
 June 27th, 2017, 12:46 AM #4 Global Moderator   Joined: Dec 2006 Posts: 19,168 Thanks: 1640 Done.
 June 28th, 2017, 08:20 AM #5 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,237 Thanks: 884 This is more the physics idea of a vector than the mathematics definition. (It has nothing to do with "Linear Algebra".) The usual definition of "vector" allows that it be anywhere in space. The velocity vector of a bird can be anywhere the bird is. (That is sometimes called a "free" vector but even without "free" that is what is assumed.) A "bound" vector has its tail and head at specific points. A "line" vector is one that can be at any point on a given line in the direction of the vector. Last edited by skipjack; June 28th, 2017 at 08:35 AM.
 June 28th, 2017, 11:21 AM #6 Global Moderator   Joined: Dec 2006 Posts: 19,168 Thanks: 1640 Which forum do you think it should be in instead of linear algebra? Algebra, abstract algebra, geometry?
 June 28th, 2017, 01:46 PM #7 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,821 Thanks: 1047 Math Focus: Elementary mathematics and beyond Physics, perhaps.
 June 28th, 2017, 11:27 PM #8 Newbie   Joined: Jun 2017 From: California Posts: 1 Thanks: 0 I suppose you can think of a line vector as a vector in 1-dimension. The "x-axis" we're all familiar with in a Cartesian coordinate system can be thought of as a Defined line vector where y=0 for all x....positive or negative.
June 28th, 2017, 11:51 PM   #9
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Quote:
 Originally Posted by Country Boy ... A "line" vector is one that can be at any point on a given line in the direction of the vector.
So, do you mean the initial point should be on the given line, or the end point should be on the given line, or both?

 June 29th, 2017, 01:29 PM #10 Global Moderator   Joined: Dec 2006 Posts: 19,168 Thanks: 1640 Both.

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