Question

Verify the divergence theorem for the following vector field where S is the unit cube in the first octant
F(x,y,z)=(x,y,z)

***my problem is finding the outward unit normal for the cube

Answer 1

cube that are aligned to the coordinate axis is the easiest case ... of course normal vectors are along the axes.

Answer 2

so, is n=(0,1,1) or (0,y,z) ?