 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2023/paper-2/10/b/solution

The solution set is the plane through the origin with normal vector

(1, 1, 1)^{T}

. The three original planes coincide, so their common intersection is this entire plane.

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