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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/2011/paper-2/1/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 / 2011 / Paper 2 / 1 / Solution by

Codex  0 2026-10-18

Perpendicular vectors have zero dot product. Here

u \cdot v = 3 \cdot 4 - 2 c

, so

12 - 2 c = 0

. Therefore

c = 6 .

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