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Find the volume of a parallelopiped whose sides are given by -3i + 7j + 5k, -5i + 7j - 3k and 7i - 5j - 3k.

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Find the volume of a parallelopiped whose sides are given by -3i + 7j + 5k, -5i + 7j - 3k and 7i - 5j - 3k.

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We know that the volume of a parallelopiped whose three adjacent edges are

 = –3 (–21 – 15) – 7 (15 + 21) + 5 (25 – 49) 

= 108 – 252 – 120 = –264

So, required volume of the parallelopiped

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