 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2008/paper-2/1/solution

Codex  0 Created 2026-10-18 Updated 2026-10-20

a \cdot b = 2 - 1 + 2 = 3

, and both vectors have length

6

. The angle between vectors therefore satisfies

cos θ = 3/6 = 1/2

θ = π /3.

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