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Which of the following expressions are m...

Which of the following expressions are meaningful?

A

`vecu.(vecvxxvecw)`

B

`(vecu.vecv).vecw`

C

`(vecu.vecv)vecw`

D

`vecuxx(vecv.vecw)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Since `vecvxxvecw` is a vector. Therefore `vecu.(vecvxxvecw)` is a scalar quantity.
As `(vecu.vecv)` is a scalar. Therefore `(vecu.vecv).vecw` is not meaningful.
But`(vecu.vecv)vecw` is a scalar multiple of `vecw`. So it is meaningful.
Since `vecv.vecw` is a scalar. So `vecuxx(vecvxxvecw)` is not meaningful.
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OBJECTIVE RD SHARMA-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Section I - Solved Mcqs
  1. Which of the following expressions are meaningful?

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  2. For three vectors vecu,vecv,vecw which of the following expressions is...

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  3. If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahatj...

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  4. The volume of the tetrahedron whose vertices are the points with posit...

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  5. If a vector veca is expressed as the sum of two vectors vec(alpha) and...

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  6. veca and vecb are two given vectors. On these vectors as adjacent side...

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  7. Let hata be a unit vector and hatb a non zero vector non parallel to v...

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  8. The three vectors hat i+hat j,hat j+hat k, hat k+hat i taken two at a ...

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  9. Let veca=2hati+hatj-2hatk and vecb=hati+hatj. If vecc is a vector such...

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  10. Let veca and vecb be two non-collinear unit vectors. If vecu=veca-(vec...

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  11. If the vectots phati+hatj+hatk, hati+qhatj+hatk and hati+hatj+rhatk(p!...

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  12. If vecrxxvecb=veccxxvecb and vecr|veca then vecr is equal to

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  13. If veca, vecb, vecc are any three vectors such that (veca+vecb).vecc=(...

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  14. Let veca=2hati+3hatj-hatk and vecb=hati-2hatj+3hatk. Then , the value ...

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  15. Let veca, vecb, vecc be three unit vectors such that veca. vecb=veca.v...

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  16. If veca, vecb, vecc are three non coplanar, non zero vectors then (vec...

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  17. If the acute angle that the vector alphahati+betahatj+gammahatk makes ...

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  18. If veca, vecb, vecc are non coplanar vectors and vecp, vecq, vecr are ...

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  19. If veca vecb are non zero and non collinear vectors, then [(veca, vecb...

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  20. If vecr is a unit vector such that vecr=x(vecbxxvecc)+y(veccxxveca)+...

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