# Use Stokes' Theorem to evaluate F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 6yi + xzj + (x + y)k, C is the curve of intersection of the plane z = y + 8 and the cylinder x2 + y2 = 1.

Question

Use Stokes' Theorem to evaluate F · dr where C is oriented counterclockwise as viewed from above.

F(x, y, z) = 6yi + xzj + (x + y)k,

C is the curve of intersection of the plane z = y + 8 and the cylinder x2 + y2 = 1.