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Let F= (2 x, 2 y , 2 x + 2 z). Use Stokes' theorem to evaluate the integral of around the curve consisting of the straight lines joining the points...

Let F= (2 x, 2 y , 2 x + 2 z). Use Stokes' theorem to evaluate the integral of around the curve consisting of the straight lines joining the points (1,0,1), (0,1,0) and (0,0,1). In particular, compute the unit normal vector and the curl of F as well as the value of the integral:

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