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The volume of a tetrahedron determined by the vectors a → , b → , c → is 3 4 cubic units. The volume (in cubic units) of a tetrahedron determined by the vectors 3 a → × b → , 4 b → × c → and 5 c → × a → will be

Correct answer

202.5

Step-by-step solution

1 6 a →   b →   c → = 3 4 ⇒ a →   b →   c → = 9 2 … 1 Volume of tetrahedron = 1 6 3 a → × b →     4 b → × c →     5 c → × a → = 1 6 × 3 × 4 × 5 a →   b →   c → 2 = 10 × 81 4 = 202.5 cubic units

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