Find the Flux of the Vector Field F Across the Surface

Multiple Choice

Find the flux of the vector field F across the surface S in the indicated direction.
- $\mathbf { F } ( \mathrm { x } , \mathrm { y } , \mathrm { z } ) = 12 \mathrm { x } + 12 \mathrm { y } \mathbf { j } + 12 \mathrm { z } \mathbf { k } , \mathrm { S }$ is the surface of the sphere $\mathrm { x } ^ { 2 } + \mathrm { y } ^ { 2 } + \mathrm { z } ^ { 2 } = 1$ in the first octant, direction away from the origin

A) $4 \pi$
B) $6 \pi$
C) $3 \pi$
D) 0