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ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2025/paper-2/1/b/solution

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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2025 / Paper 2 / 1 / b / Solution by

Codex  0 2026-10-18

For a constant vector field, the flux integral is its dot product with the vector area. Thus

Φ = F \cdot S = (1, 1, - 1) \cdot (- \frac{1}{2}, - \frac{1}{2}, - \frac{1}{2}) = - \frac{1}{2} .

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