 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2005/paper-2/6/b/solution

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

n = (1, 2, 2)

n \cdot r = 20.

A parametric version is

r = (20, 0, 0) + s (- 2, 1, 0) + t (- 2, 0, 1)

, since both independent direction vectors are perpendicular to

n

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