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: 17,919 Thanks: 1386 
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: 17,919 Thanks: 1386 
Done.

June 28th, 2017, 08:20 AM  #5 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,656 Thanks: 681 
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: 17,919 Thanks: 1386 
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: 7,576 Thanks: 931 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 1dimension. The "xaxis" 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 
Newbie Joined: Jun 2017 From: Earth Posts: 17 Thanks: 0  
June 29th, 2017, 01:29 PM  #10 
Global Moderator Joined: Dec 2006 Posts: 17,919 Thanks: 1386 
Both.


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line, linear, vector 
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