Answer
(c)
Work Step by Step
By definition, the vector surface integral is given by
$\mathop \smallint \limits_{}^{} \mathop \smallint \limits_S^{} {\bf{F}}\cdot{\rm{d}}{\bf{S}} = \mathop \smallint \limits_{}^{} \mathop \smallint \limits_S^{} \left( {{\bf{F}}\cdot{\bf{n}}} \right){\rm{d}}S$
Notice that the right-hand side of the equation is a scalar surface integral. Therefore, the answer is (c).
