 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/a/solution

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

Subtract the two position vectors to obtain the direction

b - a = (- 3, - 1, 3)

. The affine line in a vector space through the points is therefore

r = (2, - 1, - 2) + t (- 3, - 1, 3), t \in R .

The values

t = 0, 1

recover the two specified points.

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