MHT CET20227 Aug 2022Evening ShiftMathematicsVector AlgebraActual

The volume of the tetrahedron having vertices (1,-6,10) , (-1,-3,7),(5,-1, ) and (7,-4,7) is 11 cu . Units, then =

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Correct answer

D. 7

Step-by-step solution

aligned & Volume of a tetrahedron = 1 6 | array lll x₂-x₁ & y₂-y₁ & z₂-z₁ x₃-x₁ & y₃-y₁ & z₃-z₁ x₄-x₁ & y₄-y₁ & z₄-z₁ array | & = 1 6 | array ccc -2 & 3 & -3 4 & 5 & -10 6 & 2 & -3 array | & 11= 1 6 22 -88 =7 aligned

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