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Volume of the parallelopiped having vertices at O equiv (0, 0, 0), A equiv (2, -2, 1), B equiv (5, -4, 4) and C equiv (1, -2, 4) is |
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Answer» 5 cu units `OB=5hati-4hatj+4hatk` and `OC=hati-2hatj+4hatk` VOLUME of parallelopiped`=["OA OB OC"]` `=|{:(2,-2,1),(5,-4,4),(1,-2,4):}|=2(-16+8)+2(20-4)+1(-10+4)` `=-16+32-6=10`cu units. |
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