Home
Class 12
MATHS
Let hat a=2 hat i+ hat j-2 hat k and v...

Let ` hat a=2 hat i+ hat j-2 hat k` and ` vec b= hat i+ hat j` . Let ` vec c` be a vector such that `| vec c- vec a|=3,|( vec axx vec b)xx vec c|=3` and the angle between ` vec c` and ` vec axx vec b` be `30^0` . Then ` vec adot vec c` is equal to : `5` (2) `1/8` (3) `(25)/8` (4) `2`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|16 Videos

Similar Questions

Explore conceptually related problems

If vec a=hat i+hat j+hat hat j and vec b=hat i-2hat j+hat k, then find vector vec c such that vec a*vec c=2 and vec a xxvec c=vec b

Let vec a=2hat i+hat j-2hat k,vec b=hat i+hat j. If vec c is a vector such that vec a*vec c=|vec c|,|vec c-vec a|=2sqrt(2) and the angle between vec a xxvec b and vec c is 30^(@), then |(vec a xxvec b)xxvec c| equals :

If vec a=hat j-hat k and vec c=hat i+hat j+hat k are given vectors,and vec b is such that a vec a*vec b=3 and vec a xxvec b+vec c=0 then is equal to

Let vec a=2hat i+hat j-2hat k and vec b=hat i+hat j If c is a vector such that vec a*vec c=|vec c|,|vec c-vec a|=2sqrt(2) then maimum value of [vec avec bvec c]

If vec a=hat i+hat j+hat k and vec b=hat j-hat k, find a vector vec c such that vec a x vec c=vec b and vec a*vec c=3

If vec a= hat i+ hat j+ hat k , vec c= hat j- hat k , vec adot vec b=3 and vec ax vec b= vec c , then vec b is equal to

Let vec a=3 hat i+2 hat j+hat k,vec b=2 hat i-hat j+3 hat k and vec c be a vector such that (vec a+vec b)timesvec c=2(vec a timesvec b)+24 hat j-6 hat k and (vec a-vec b+hat i)*vec c=-3 .Then |vec c|^(2) is equal to:

Let vec a=hat j-hat k and vec c=hat i-hat j-hat k. Then the vector b satisfying vec axvec b+vec c=0 and vec a*vec b=3, is

let vec a=hat i+hat j-hat k and vec b=hat i-hat j-hat k and vec c be a unit vector perpendicular to vec a and coplanarwith vec a and vec b then vec c is

If vec a= hat i+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k a n d vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec cdot

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...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |