Constant Vector Field For the constant vector field verify the following integral for
Chapter 15, Problem 24(choose chapter or problem)
For the constant vector field \(\mathbf{F}(x, y, z)=a_{1} \mathbf{i}+a_{2} \mathbf{j}+a_{3} \mathbf{k}\), verify the following integral for any closed surface S.
\(\int_{S} \int \mathbf{F} \cdot \mathbf{N} d S=0\)
Text Transcription:
F(x, y, z) = a_{1}i + a_{2}j + a_{3}k
int_S int F cdot N dS = 0
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