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If hat u and hat v are unit vect...

If ` hat u` and ` hat v` are unit vectors and `theta` is the acute angle between them, then `2 hat uxx3 hat v` is a unit vector for (1) exactly two values of `theta` (2) more than two values of `theta` (3) no value of `theta` (4) exactly one value of `theta`

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JEE MAINS PREVIOUS YEAR-VECTOR ALGEBRA-All Questions
  1. Let bar a= hat i+ hat j+ hat k ,""b= hat i- hat j+2 hat k and bar...

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  2. If hat u and hat v are unit vectors and theta is the acute ang...

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  3. The resultant of two forces P N and 3 N is a force of 7 N. If the d...

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  4. The statement pvec(qvecp) is equivalent to (1) pvec(pvecq) (...

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  5. The nonzero verctors vec a , vec b and vec c are related by ...

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  6. The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the pla...

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  7. If vec u , vec v , vec w are noncoplanar vectors and p, q are real...

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  8. The projections of a vector on the three coordinate axis are 6, 3, ...

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  9. If the vectors vec a= hat i- hat j+2 vec k ,"" vec b=2 hat i+4 hat j+...

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  10. Let vec a= hat j- hat k and vec c= hat i- hat j- hat k . Then vector...

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  11. The vectors vec a and vec b are not perpendicular and vec c and...

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  12. If a=1/(sqrt(10))(3 hat i+ hat k)"and" vec b=1/7(2 hat i+3 hat j-6 hat...

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  13. Let hat a and hat b be two unit vectors. If the vectors vec c= hat ...

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  14. Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p...

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  15. If the vectors bar (AB)=3 hat i+4 hat k and bar (AC)=5 hat i-2 hat j...

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  16. If [ vec axx vec b"" vec bxx vec c"" vec cxx vec a]=lambda[ vec a vec ...

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  17. Let vec a , vec b and vec c be three non-zero vectors such that no ...

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  18. Let vec a , vec b"and" vec c be there unit vectors such that vec axx...

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  19. Let hat a=2 hat i+ hat j-2 hat k and vec b= hat i+ hat j . Let vec ...

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