 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2006/paper-1/5/a/solution

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

The coordinate intercepts suggest the normal vector

n = (1/ a, 1/ b, 1/ c) .

Indeed

n \cdot a = n \cdot b = n \cdot c = 1

, so the two independent edge vectors in the plane are both orthogonal to

n

 New to topics? Read the docs here!