 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/c/solution

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

The distance from a point to a plane is the absolute residual of the plane equation divided by its normal's length. Here

n \cdot c = 11

and

∣ n ∣ = 3

, so

d = \frac{∣11 - 20∣}{3} = 3.

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