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If the non zero vectors veca and vecb ar...

If the non zero vectors `veca` and `vecb` are perpendicular to each other, then the solution of the equation `vecr xx veca=vecb` is given by

A

`vecr=x veca+(vecaxxvecb)/(|veca|^(2))`

B

`vecr=xvecb-(vecaxxvecb)/(|vecb|^(2))`

C

`vecr=x(vecaxxvecb)`

D

`vecr=x(vecbxxveca)`

Text Solution

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OBJECTIVE RD SHARMA-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. If veca, vecb, vecc are non-coplanar vectors, then (veca.(vecbxxvecc))...

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

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

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

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

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  7. vecaxx(vecaxx(vecaxxvecb)) equals

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

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

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

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

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

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

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

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  15. If the vectors veca and vecb are mutually perpendicular, then vecaxx{v...

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  16. [((vecaxxvecb)xx(vecbxxvecc),(vecbxxvecc)xx(veccxxveca),(veccxxveca)xx...

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  17. Let veca=hati-hatj,vecb=hatj-hatk, vecc=hatk-hati. If hatd is a unit v...

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  18. If the vectors (sec^(2)A)hati+hatj+hatk, hati+(sec^(2)B)hatj+hatk,hati...

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  19. hata and hatb are two mutually perpendicular unit vectors. If the vect...

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  20. If three concurrent edges of a parallelopiped of volume V represent ve...

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