If the volume of the parallelopiped with \overrightarrow{a} \times \overrightarrow{b, b} \times \overrightarrow{c} and \overrightarrow{c} \times \overrightarrow{a} as conterminous edges is 9 {\cu}. units, then the volume of the parallelopiped with (\overrightarrow{a} \times \overrightarrow{b}) \times \overrightarrow{(b} \times \overrightarrow{c}),(\overrightarrow{b} \times \overrightarrow{c)} \times \overrightarrow{(c} \times \overrightarrow{a}), and \overrightarrow{(c} \times \overrightarrow{a}) \times(\overrightarrow{a} \times \overrightarrow{b}) as conterminous edges is

Correct Answer is : 81cu. units

WBJEE 2023 Math Solved Paper

Question : 56 of 75

Marks: +1, -0

If the volume of the parallelopiped with

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b,b

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and

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as conterminous edges is 9‌cu. units, then the volume of the parallelopiped with (

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)×

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),(

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), and

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)×(

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) as conterminous edges is

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