c) The surface S is the portion of the plane x+y+z=1 in the first quadrant of the Oxyz Cartesian coordinate space. The directed straight lines from (1,0,0) to (0,0,1), (0,0,1) to (0,1,0) and (0,1,0) back to (1,0,0) are denoted by C, C, and C, respectively. The union of C, C, and C, form a closed path C with a particular direction. Use Stokes' theorem to evaluate the line integral (xy dx+z dy+ zydz). (Hint. The relation . F•dr = [[.V× F)•n do is given in Stokes' theorem.) %3D

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