Discussion
The flux of a vector field through a surface is written
Answer: C
Correct answer: \( \int \mathbf{A} \cdot d\mathbf{s} \)
Flux counts only the component of the field passing through the surface, so the dot product with the vector area element is exactly right: it takes the normal component and discards the tangential one. Using the magnitude alone would count field lines running along the surface, which pass through nothing.
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