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The three concurrent edges of a paralle...

The three concurrent edges of a parallelopiped represent the vectors `veca, vecb, vecc` such that `[(veca, vecb, vecc)]=V`. Then the volume of the parallelopiped whose three concurrent edges are the three diagonals of three faces of the given parallelopiped is

A

`V`

B

`2V`

C

`3V`

D

none of these

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The correct Answer is:
B

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OBJECTIVE RD SHARMA ENGLISH-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. If the vectors (sec^(2)A)hati+hatj+hatk, hati+(sec^(2)B)hatj+hatk,hati...

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

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

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

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

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

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

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

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

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  10. (vecbxxvecc)xx(veccxxveca)=

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

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

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

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

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

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

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

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  18. If V is the volume of the parallelepiped having three coterminous edge...

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  19. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

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  20. If vectors vec A B=-3 hat i+4 hat ka n d vec A C=5 hat i-2 hat j+4 ha...

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