Compute the flux of the vector field LaTeX: \vec{F}=F → =< y + z , x + z , x + y > though the unit cubed centered at origin.

Assuming the cube is closed, you can use the divergence theorem:

where is the surface of the cube and is the region bounded by .

We have

so the flux is 0.

the answer

b. they are parallel and will never intersect.

a is the correct