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For any these vectors veca,vecb, vecc th...

For any these vectors `veca,vecb, vecc` the expression `(veca-vecb).{(vecb-vecc)xx(vecc-veca)}` equals

A

`[(veca,vecb, vecc)]`

B

`2[(veca, vecb, vecc)]`

C

`[(veca, vecb, vecc)]^(2)`

D

none of these

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D
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OBJECTIVE RD SHARMA-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. If hata, hatb, hatc are three units vectors such that hatb and hatc ar...

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  2. For any three vectors veca, vecb, vecc the vector (vecbxxvecc)xxveca e...

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  3. For any these vectors veca,vecb, vecc the expression (veca-vecb).{(vec...

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  4. For any vectors vecr the value of hatixx(vecrxxhati)+hatjxx(vecrxxha...

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  5. If the vectors veca=hati+ahatj+a^(2)hatk, vecb=hati+bhatj+b^(2)hatk, v...

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  6. Let veca, vecb, vecc be three non-coplanar vectors and vecp,vecq,vecr ...

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  7. If veca, vecb, vecc are non-coplanar vectors, then (veca.(vecbxxvecc))...

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  8. Let veca=a(1)hati+a(2)hatj+a(3)hatk, vecb=b(1)hati+b(2)hatj+b(3)hatk a...

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  9. If the non zero vectors veca and vecb are perpendicular to each other,...

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  10. Prove that: [(vecaxxvecb)xx(vecaxxvecc)].vecd=pveca vecb vecc](veca.ve...

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  11. If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc) then

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  12. If veca,vecb,vecc and vecp,vecq,vecr are reciprocal system of vectors,...

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  13. vecaxx(vecaxx(vecaxxvecb)) equals

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  14. If veca=hati+hatj-hatk, vecb=hati-hatj+hatk and vecc is a unit vector ...

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  15. If veca, vecb, vecc are non-coplanar unit vectors such that vecaxx(vec...

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  16. Let a,b,c be distinct non-negative numbers. If the vectors ahati+ahatj...

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  17. If vecaxxvecb=vecc and vecbxxvecc=veca then a. veca,vecb,vecc are ort...

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  18. If vecp=(vecbxxvecc)/([(veca,vecb,vecc)]),vecq=(veccxxveca)/([(veca,ve...

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  19. If vecrxxveca=vecbxxveca,vecrxxvecb=vecaxxvecb,veca!=0,vecb!=0,veca!=l...

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  20. The vector veca coplanar with the vectors hati and hatj perendicular t...

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