Why is vector S called surface instead of the normal vector of the plane? What actually is S? Can S be in the opposite direction?
2026-03-29 22:26:19.1774823179
Equation of a surface
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1
Making some interpretations without having the full details... I think that you’re asked here is not to provide the equation for the surface, but the equation for computing the algebraic area of the colored surface. The orientation being given by the vector.
If that is correct, then the answer is Only (a) is correct.