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When a right handed rectangular Cartesia...

When a right handed rectangular Cartesian system OXYZ is rotated about the z-axis through an angle `pi/4` in the counter-clockwise, direction it is found that a vector `veca` has the component `2sqrt(3), 3sqrt(2)` and 4.

A

`5,-1,4`

B

`5,-1,4sqrt(2)`

C

`-1,-5,4sqrt(2)`

D

none of these

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D
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OBJECTIVE RD SHARMA ENGLISH-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. If the volume of the tetrahedron whose vertices are (1,-6,10),(-1,-3,7...

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  2. (vecbxxvecc)xx(veccxxveca)=

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

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

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

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

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

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

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

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

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

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  12. 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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  13. Let the position vectors of vertices A,B,C of DeltaABC be respectively...

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  14. The position vector of a point P is vecr=xhati+yhatj+zhatk where x,y,z...

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  15. veca and vecb are two unit vectors that are mutually perpendicular. A...

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  16. If the vectors 2ahati+bhatj+chatk, bhati+chatj+2ahatk and chati+2ahatj...

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  17. Let alpha = a hati + b hatj + chatk , vecbeta = bhati + chatj + ahatk ...

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  18. Let veca,vecb,vecc be three mutually perpendicular vectors having same...

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  19. Let veca,vecb and vecc be the three non-coplanar vectors and vecd be a...

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  20. Let vecr be a unit vector satisfying vecr xx veca = vecb, " where " |v...

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