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The vector veca coplanar with the vector...

The vector `veca` coplanar with the vectors `hati` and `hatj` perendicular to the vector `vecb=4hati-3hatj+5hatk` such that `|veca|=|vecb|` is

A

`sqrt(2)(3hati+4hatj)` or `-sqrt(2)(3hati+4hatj)`

B

`sqrt(2)(4hati+3hatj)` or `-sqrt(2)(4hati+3hatj)`

C

`sqrt(3)(4hati+5hatj)` ro `-sqrt(3)(4hati+5hatj)`

D

`sqrt(3)(5hati+4hatj)` or `-sqrt(3)(5hati+4hatj)`

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OBJECTIVE RD SHARMA-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. If vecp=(vecbxxvecc)/([(veca,vecb,vecc)]),vecq=(veccxxveca)/([(veca,ve...

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

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

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

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

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

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

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

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

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  10. If veca=hati+hatj+hatk, vecb=hati+hatj,vecc=hati and (vecaxxvecb)xxvec...

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  11. If veca=2hati-3hatj+5hatk , vecb=3hati-4hatj+5hatk and vecc=5hati-3hat...

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  12. If veca,vecb,vecc are linearly independent vectors, then ((veca+2vecb)...

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  13. If veca,vecb are non-collinear vectors, then [(veca,vecb,hati)]hati+[...

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  14. If [(2veca+4vecb,vecc,vecd)]=lamda[(veca,vecc,vecd)]+mu[(vecb,vecc,vec...

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  15. If the volume of the tetrahedron whose vertices are (1,-6,10),(-1,-3,7...

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  16. (vecbxxvecc)xx(veccxxveca)=

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  17. When a right handed rectangular Cartesian system OXYZ rotated about z-...

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  18. Prove that vectors vecu=(al+a(1)l(1))hati+(am+a(1)m(1))hatj + (an+a(...

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  19. If vecax(vecaxxvecb)=vecbxx(vecbxxvecc) and veca.vecb!=0, and [(veca,v...

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  20. [(veca,vecb,axxvecb)]+(veca.vecb)^(2)=

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