MHT CET 2024 Mathematics question

MathematicsVector AlgebraMHT CET 2024

If the volume of tetrahedron whose vertices are A (1, -6, 10), B (-1, -3, 7), C (5, -1, k) and D (7, -4, 7) is 11 cu. units, then the value of k is

Answer: (A)

Solution

, , . Volume . The determinant is . So

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Question ID VK-096895