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Volume of the parallelopiped having vertices at ` O-=(0,0,0) , A-=(2,-2,1),B-=(5,-4,4), and C= (1,-2,4)` isA. 5 cu unitB. 10 cu unitC. 15 cu unitD. 20 cu unit |
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Answer» Correct Answer - B Given , `vec(OA) = 2 hati- 2 hatj+hatk` `vec(OB)=5hati-4hatj+4hatk and vec(OC)=hati-2hatj+4hatk` Volume of parallelopiped`=[vec(OA) vec(OB) vec(OC)]` `=|{:( 2,-2,1),(5,-4,4),(1,-2,4):}|` `=2(-16+8)+2(20-4)+1 (-10+4)` `=10` cu unit |
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