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Statement 1: For any three vectors `veca,vecb,vecc` `[(vecaxxvecb,vecbxxvecc,veccxxveca)]=0` Statement 2: If `vecp,vecq,vecr` are linear dependent vectors then they are coplanar.A. 1B. 2C. 3D. 4 |
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Answer» Correct Answer - D If `vecp,vecq,vecr` are linearly independent vectors, then there exist scalars `x,y,z` not all zero such that `xvecp+yvecq+zvecr=vec0` `impliesvecp=(-y/x)vecq+((-z)/x)vecr` `impliesvecp,vecq,vecr` are coplanar. So, statement 2 is true. We know that `[(vecpxxvecb,vecbxxvecc,veccxxveca)]=[(veca,vecb,vecc)]!=0` unless `veca,vecb,vecc` are coplanar. So, statement -2 is not true. |
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