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if the vectors 2hati-3hatj,hati+hatj-hat...

if the vectors `2hati-3hatj,hati+hatj-hatk and 3 hati-hatk` from three concurrent edges of a parallelpiped, then find the volume of the parallelepied.

Text Solution

Verified by Experts

Here, `vec(OA)=2hati-3hatj=veca (say)`
`vec(OB)=hati+hatj-hatk=vecb (say).`
`vec(OC)=3hati-hatk=vecc(say)`
volume `[vecavecbvecc]=veca.(vecbxxvecc)= |{:(2,-3,0),(1,1,-1),(3,0,-1):}|=4`
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