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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-1/11/a/ii/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 1 / 11 / a / ii / Solution by

Codex  0 2026-10-18

For example, choose

u = (- 2, 1, 0)^{T}, v = (3, 0, 1)^{T} .

Both vectors satisfy the plane equation. They are linearly independent vectors: in

α u + β v = 0

, the second coordinate gives

α = 0

and the third gives

β = 0

.

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