September 2nd, 2017, 06:43 AM  #1 
Member Joined: May 2017 From: Slovenia Posts: 87 Thanks: 0  Stoke's theorem
I found two different solved examples of Stoke's theorem. And I'm kinda confused with the orientation. I tried googling it but still not clear. Can somebody explain? 1. Says that we have curve K that is oriented clockwise and we are looking at it from point T (0,0,10). We parameterize it with r and phi. It says that f(r)xf(phi) points upwards and the normal P downwards. So we have  in the front of the integral. How do we know that? 2.We have curve that is oriented clockwise and we are looking at it from T(0,0,0). Here it says that both f(r)xf(phi) and P are pointing upwards. Here we have +. Again how do we know that? 
September 2nd, 2017, 06:48 AM  #2 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 842 Thanks: 60 Math Focus: सामान्य गणित 
What are f(r) and f(phi)?

September 2nd, 2017, 06:52 AM  #3 
Member Joined: May 2017 From: Slovenia Posts: 87 Thanks: 0  
September 2nd, 2017, 07:07 AM  #4 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 842 Thanks: 60 Math Focus: सामान्य गणित  
September 2nd, 2017, 07:23 AM  #5 
Member Joined: May 2017 From: Slovenia Posts: 87 Thanks: 0  

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