If S is part of the plane 2x + y + z =1
Ok I think i have done this but want to double check, here's my working:
Sub in z = 1 - 2x - y to eliminate Z
Do all the subbing, i get
Limits are between [1-2x..0] for y and [1..0] for x.
Thus i obtain
Is this correct?
Ok had another look, and it would seem straight foward ie do a matrix between the derivatives and . The issue is do we know . I know r as in f(r). Stokes theorem:
As you quite rightly said we can simply look at the cross product, but if i imply use r despite it not being the vector r, will the path C not be used anywhere in this formula (Which if its not would be logical, considering it would show its independent of path) perhaps on my sheet it should say: