MHT CET 2025 Mathematics question

A tetrahedron has vertices O(0, 0, 0) A(1, 2, 1) B(2, 1, 3) C (-1, 1, 2). Then the angle between the faces OAB and ABC will be

Answer: (A)

Solution

The angle between two faces equals the angle between their normals. Normal to face OAB: . Normal to face ABC: , , so

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Question ID VK-102858