 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2018/paper-2/1/b/solution

The plane contains

(1, 0, 1)

(0, 1, 2)

, so its equation is

y + 2 z = 2

n \cdot r = d

∣ d ∣

is the perpendicular distance from the origin. Consequently

distance = \frac{2}{5} .

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