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Q.

Let the vectors a, b, c represent three coterminous edges of a parallelopiped of volume V. Then the volume of the parallelopiped, whose coterminous edges are represented by a, b+c and a+2b+3c is equal to:

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a

3V

b

2V

c

6V

d

V

answer is C.

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Detailed Solution

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Given V=[a¯ b¯ c¯]
Required volume formed by
a¯,b¯+c¯ and a¯+2b+3c¯ =100011123[a¯b¯c¯]=[a¯ b¯ c¯]=V

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