Gauss divergence theorem

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Evaluate $\int_S F.n dS$ where $F=18zi-12j+3yk$ and S is the part of the plane $2x+3y+6z=12$ which is located in the first octant.

Here div $F=0$ so by Gauss divergence theorem value of the integral is 0.

I have doubt about the answer. Am I right?