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Q.

Three vectors i+j , j+k and k+i taken two at a time form three planes. The three
unit vectors drawn perpendicular to these three planes form a parallelopiped of volume

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a

334

b

43

c

1/3

d

4

answer is B.

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Detailed Solution

a=i+j    b=j+k    c=k+i[a b c]=110011101=1(1)-1(-1)=2

Volume =[a×b   b×c   c×a]=[a b c]2=4

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