Evaluate the Flux of the Vector Field $\mathbf { F } = 2 \mathbf { i } + \mathbf { j } + 3 \mathbf { k }$

Short Answer

Evaluate the flux of the vector field $\mathbf { F } = 2 \mathbf { i } + \mathbf { j } + 3 \mathbf { k }$ through the plane region with the given orientation as shown below.