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Q.

Let OA, OB, OC be the co-terminal edges of a rectangular parallelopiped of volume V and let P be the vertex opposite to O. Then AP→  BP→  CP→=

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a

2V

b

12V

c

0

d

33V

answer is A.

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Detailed Solution

Question Image

OP=a+b+c AP=b+c BP=c+a CP=a+b [a b c]=ν                    [AP  BP  CP]                                  =2[a b c]=2ν

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