1.

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

Answer»

5 cu units
10 cu units
15 cu units
20 cu units

Solution :Given, `OA=2 hati-2hatj+hatk`
`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.


Discussion

No Comment Found

Related InterviewSolutions