 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2015/paper-2/1/solution

The cross product of the two in-plane directions is

u \times v = (- 5, 1, 2)

30

\hat{n} = \pm \frac{( - 5 , 1 , 2 )}{30} .

\hat{n} \cdot (r - A) = 0

p = ∣ \hat{n} \cdot A ∣ = \frac{2}{30} .

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