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  • The volume of parallelepiped whose sides are given by OA=2i-j ,OB=i+j-k and OC=3i-k is

The volume of parallelepiped whose sides are given by OA=2i-j ,OB=i+j-k and OC=3i-k is

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Solution:  Given   vecOA=2i-j , vecOB=i+j-k hspace0.2cmvecOC=3i-k

            volume hspace0.2cmof hspace0.2cmparalelopipedhspace0.2cm=[veca,vecb,vecc]\ \ Rightarrow hspace1cm=eginvmatrix 2 &-2 &0 \ 1& 1 &-1 \ 3 &0 &-1 endvmatrix=2(-1)+2(-1+3)=2.

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Deependra Verma

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