Assignment:
Let F = (2x, 2y, 2x + 2z). Use Stokes' theorem to evaluate the integral of F 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
n =
∇ x F =
The value of integral is = ?
Provide complete and step by step solution for the question and show calculations and use formulas.