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Let veca=hati-hatj, vecb=hatj-hatk, vecc...

Let `veca=hati-hatj, vecb=hatj-hatk, vecc=hatk-hati. If hatd` is a unit vector such that `veca.hatd=0=[vecb vecc vecd]` then `hatd` equals

A

`+-(hati+hatj-2hatk)/(sqrt(6))`

B

`+-(hati+hatj-hatk)/(sqrt(3))`

C

`+-(hati+hatj+hatk)/(sqrt(3))`

D

`+-hatk`

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OBJECTIVE RD SHARMA ENGLISH-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

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  2. If veca, vecb, vecc are non-coplanar non-zero vectors, then (vecaxxv...

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

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

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  5. x and y are two mutually perpendicular unit vector, if the vectors aha...

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  6. The three concurrent edges of a parallelopiped represent the vectors ...

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  7. If a=hati+hatj+hatk,b=hati+hatj,c=hati and (axxb)xxc=lamda a+mub, then...

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

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

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

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

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

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  13. (vecbxxvecc)xx(veccxxveca)=

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  14. When a right handed rectangular Cartesian system OXYZ is rotated about...

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

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  16. If vecaxx(vecaxxvecb)=vecbxx(vecbxxvecc) and veca.vecb!=0, then [(veca...

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

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  18. Let vec(alpha),vec(beta) and vec(gamma be the unit vectors such that v...

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  19. If veca, vecb and vecc are unit coplanar vectors, then [(2veca-3vecb,...

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  20. If [(veca,vecb,vecc)]=3, then the volume (in cubic units) of the paral...

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