- #1
Benny
- 584
- 0
Hi, I'm having problems evaluating a surface integral.
[tex]\int\limits_{}^{} {\int\limits_S^{} {xdS} } [/tex]
where S is the triangle with vertices (1,0,0), (0,2,0) and (0,1,1).
I need to parameterise the triangle but I don't know how to.
I tried (x,y,z) = (1,0,0) + u[(0,2,0)-(1,0,0)] + v[(0,1,1)-(1,0,0)] = (1,0,0) + u(-1,2,0) + v(-1,1,1).
But that is a paramterisation for a plane. I can't figure this one out can someone please help me out?
[tex]\int\limits_{}^{} {\int\limits_S^{} {xdS} } [/tex]
where S is the triangle with vertices (1,0,0), (0,2,0) and (0,1,1).
I need to parameterise the triangle but I don't know how to.
I tried (x,y,z) = (1,0,0) + u[(0,2,0)-(1,0,0)] + v[(0,1,1)-(1,0,0)] = (1,0,0) + u(-1,2,0) + v(-1,1,1).
But that is a paramterisation for a plane. I can't figure this one out can someone please help me out?