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Q.

If  h  is the altitude of a parallelepiped determined by the vectors  a,b,c and the base is taken to be the parallelogram determined by a  and b  where a=i^+j^+k^,b=2i^+4j^k^  and c=i^+j^+3k^  then the value of 19h2 is 

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answer is 8.

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Detailed Solution

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Volume of the parallelepiped =|[abc]| 
           (area of the base parallelogram)  h=|abc|
           |a×b|h=|[abc]|             38h=4h=438 
               38h2=4×4    19h2=8 

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