 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2002/paper-1/1/b/i/solution

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

The normal vector must be parallel to

b

, and the plane must contain

a

. Therefore one choice is

n = \frac{b}{∣ b ∣}, μ = \frac{a \cdot b}{∣ b ∣} .

b \neq = 0

. Replacing both

n

and

μ

by their negatives describes the same affine hyperplane.

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