Home
Class 12
MATHS
The projections of a vector on the three...

The projections of a vector on the three coordinate axis are `6, 3, 2` respectively. The direction cosines of the vector are (A) `6,-3,2` (B) `6/5,(-3)/5,2/5` (C) `6/7,(-3)/7,2/7` (D) `(-6)/7,(-3)/7,2/7`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|16 Videos

Similar Questions

Explore conceptually related problems

The projection of a vector on the three coordinate axes are 6, -3, 2 , respectively. The direction cosines of the vector are

The direction cosines of the ray from (0,0,0) to (2,-3,6) are (A) -2/7,3/7,-6/7 (B) 2/7,37,6/7 (C) -2/7,-3/7,6/7 (D) 2/7,-3/7,6/

If projections of as line on x,y and z axes are 6,2 and 3 respectively, then directions cosines of the lines are (A) (6/2,2/7,3/7) (B) (3/5,5/7,6/7) (C) (1/7,2/7,3/7) (D) none of these

The direction cosines of a normal to the plane 2x-3y-6z+14=0 are (A) (2/7,(-3)/7,(-6)/7) (B) ((-2)/7,3/7,6/7) (C) ((-2)/7,(-3)/3,(-6)/7) (D) none of these

If the coordinates of one end of a diameter of a circle are (2,3) and the coordinates of its centre are (-2,5), then the coordinates of the other end of the diameter are (-6,7) (b) (6,-7)( c) (6,7)(d)(-6,-7)

Find the angle between the two lines whose direction cosines are: (2)/(3),(-1)/(3),(-2)/(3) and (3)/(7),(2)/(7),(6)/(7) .

Find the area of the pentagon whose vertices are (4, 3), (-5, 6), (0, -7), (3, -6), (-7, -2)

The projection of the join of the points (3,4,2)(5,1,8) on the line whose d.c's are ((2)/(7),(-3)/(7),(6)/(7)) is

The smallest of the fractions 3/5,2/3,5/6,7/(10), is 2/3 (b) 3/5 (c) 5/6 (d) 7/(10)

Find the the projection of the line segment joining the points : (I) (2,-3,0) (0,4,5) on the line with direction cosines lt (2)/(7) , (3)/(7), (-6)/(7) gt (ii) (1,2,3), (4,3,1) on the line with direction-ratios lt 3, -6, 2 gt .

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

    |