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asked ago in Three-dimensional geometry by (20.3k points)

The volume of the tetrahedron ABCD with vertices A(x1, y1, z1), B(x2, y2, z2), C(x3, y3, z3) and D(x4, y4, z4) is

V = (1/6)|((x1,y1,z1,1),(x2,y2,z2,1),(x3,y3,z3,1),(x4,y4,z4,1))|

The volume of the tetrahedron formed by the planes x/a + y/b + z/c = 1, x/a + y/b = 0, y/b + z/c = 0 and x/a + z/c = 0 is

Sarthaks Test For Class 7-12

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answered ago by (21.7k points)
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Answer is (c) (2/3) abc

On solving, we get the vertices of a tetrahedron as 

Volume of a tetrahedron 

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