 Solution

ID: past-exam-of-the-mathematical-methods-i-course-of-the-university-of-oxford/2014/10/a/i/solution

A direction of the intersection line must be orthogonal to both normal vectors. Their cross product is

(2, 6, - 3) \times (5, 2, - 1) = (0, - 13, - 26) .

Thus a convenient parallel vector is

u = (0, 1, 2)

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