 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2001/paper-1/1/b/solution

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

a, b

a \times b = (- 5, 0, - 5), ∣ a \times b ∣ = 52 .

Dividing by this Euclidean norm gives the two possible choices of unit normal,

n = \pm \frac{( 1 , 0 , 1 )}{2} .

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