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for any three vectors, veca, vecb and ve...

for any three vectors, `veca, vecb and vecc , (veca-vecb) . (vecb -vecc) xx (vecc -veca)` =

A

`[(veca,vecb, vecc)]`

B

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

C

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

D

none of these

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The correct Answer is:
D

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OBJECTIVE RD SHARMA ENGLISH-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 three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc...

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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 noncolanar vectors and vecp,vecq,vecr are ...

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  7. If vecA, vecB and vecC are three non - coplanar vectors, then (vecA.ve...

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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 an...

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  9. If non-zero vectors veca and vecb are perpendicular to each ot...

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  10. show that (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc) if and only if veca a...

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

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  12. vecaxx(vecaxx(vecaxxvecb)) equals

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

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  14. If veca,vecb and vecc are non coplanar and unit vectors such that veca...

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

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  16. If vecaxxvecb=vecc and vecbxxvecc=veca, show that veca,vecb,vecc are o...

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  17. Let veca , vecb and vecc be vectors forming right- hand triad . Let ve...

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  18. vecrxxveca=vecbxxveca,vecrxxvecb=vecaxxvecb,vecanevec0,vecbnevec0,veca...

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

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  20. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

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