Assuming that $S$ satisfies the conditions of the Divergence Theorem and the scalar functions and components of the vector fields have continuous second order partial derivatives, find
$\iint _ { s} 4 \mathbf { a } \cdot \mathbf { n } d S$,
where $\mathbf { a }$ is the constant vector.
A) 8
B) 6
C) 5
D) 7
E) 0

Question

Quizplus · Accepted Answer

Since $\mathbf{a}$ is a constant vector, the divergence of $\mathbf{a}$ is zero. By the Divergence Theorem, the surface integral of a constant vector over a closed surface is zero.

Assuming That SSS Satisfies the Conditions of the Divergence Theorem and the Scalar

Assuming That $S$ Satisfies the Conditions of the Divergence Theorem and the Scalar