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  4. The lengths of two opposite edges of tetrahedron are 2 and 3 units and shortest distance between them is equal to 4 units and angle between them is (Ï€/6), then volume of tetrahedron is greater than or equal to

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Q. The lengths of two opposite edges of tetrahedron are 2 and 3 units and shortest distance between them is equal to 4 units and angle between them is $\frac{\pi}{6}$, then volume of tetrahedron is greater than or equal to

Vector Algebra

Solution:

Volume of tetrahedron $=\frac{1}{6} \times 2 \times 3 \times 4 \sin \frac{\pi}{6}=2$ cubic units.