September 2nd, 2017, 02:27 PM  #11  
Senior Member Joined: Sep 2015 From: USA Posts: 2,500 Thanks: 1372  Quote:
The book should explain what is meant by the orientation of a curve. It tells you which direction you traverse the curve in. If the line integral of a curve through a field has value $I$, then the line integral of the same curve with opposite orientation through the field will have value $I$  
September 2nd, 2017, 02:40 PM  #12 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 901 Thanks: 61 Math Focus: सामान्य गणित 
I don't understand the book 
September 2nd, 2017, 03:12 PM  #13 
Senior Member Joined: Sep 2015 From: USA Posts: 2,500 Thanks: 1372 
you're moving along the curve... if you are tending towards the left overall from your point of view.. you are moving counter clockwise, if you are tending right you are moving clockwise. You know the old analog clocks? How their hands move? I know everything is digital these days but I still think people know clockwise vs. counterclockwise. If you are moving along the curve in a given orientation, and you stop and turn around, and continue moving, you are now moving in the opposite orientation. You can read about the orientation of curves and the associated right hand rule in a thousand places on the web. 
September 2nd, 2017, 09:21 PM  #14 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 901 Thanks: 61 Math Focus: सामान्य गणित  

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integration, volume 
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