Verify That Stokes' Theorem Is True for the Vector Field $\mathbf { F } ( x , y , z ) = - y \mathbf { i } + \lambda \mathbf { j } + \mathbf { k }$

Short Answer

Verify that Stokes' Theorem is true for the vector field $\mathbf { F } ( x , y , z ) = - y \mathbf { i } + \lambda \mathbf { j } + \mathbf { k }$ and the cone $z ^ { 2 } = x ^ { 2 } + y ^ { 2 } , 0 \leq z \leq 1$ , oriented upward.