4. Consider the plane triangular surface formed by the intersection of the plane x/A + y/B + z/C = 1 (A, B, and C all positive), with outward pointing normal, ie the normal pointing away from the origin.
Verify Stokes' Theorem for the vector field F = (x + y) + (2x − z) + (y + z) by performing the surface integral and line integral separately. Clearly show the surface and the positive direction of the line integral on a sketch.
Please see the attached file.
The surface is that of a triangle with vertices (a, 0, 0) ...
Plane Triangular Surface and Stokes' Theorem are investigated.