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If the vectors 2 hat i-3 hat j , hat i+ ...

If the vectors `2 hat i-3 hat j , hat i+ hat j- hat ka n d3 hat i- hat k` form three concurrent edges of a parallelepiped, then find the volume of the parallelepiped.

Text Solution

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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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