Let f = ay i + bz j + cx k where a, b, and c are positive constants. let c be the triangle obtained by tracing out the path from (7, 0, 0) to (7, 0, 2) to (7, 6, 2) to (7, 0, 0). find f · drc.
Accepted Solution
A:
You can either compute three line integrals, or use Stokes' theorem and compute one surface integral. I prefer the latter.
where [tex]\mathcal S[/tex] is positively oriented; that is, every vector normal to [tex]\mathcal S[/tex] is pointed in the positive [tex]x[/tex] direction. The surface element is given by