Home
Class 11
MATHS
The projections of a vector on the three...

The projections of a vector on the three coordinate axes 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)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise DOT PRODUCT OF TWO VECTORS|34 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise CROSS PRODUCT OF TWO VECTORS|17 Videos
  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise LINEAR EQUATIONS|13 Videos
  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 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

Find the direction cosines of the vector hati+2hatj+3hatk .

If the projection of a line of length d on the coordinate axes are d_(1),d_(2),d_(3) " respectively then, prove that " d^(2) = (d_(1)^(2)+d_(2)^(2)+d_(3)^(2))/2

(A): The direction of velocity vector remains unchanged though the coordinate system is changed (R): The direction of real vector is indepen dent of coordinate system

Any three coplanar vectors are

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-PROPERTIES OF VECTORS
  1. Let p bari+3barj+4bark and sqrt(q)bari+5bark be two vectors where p, q...

    Text Solution

    |

  2. Let f(t)=[t]bari+{t-[t]}barj+[t+1]bark where [.] denotes the greatest ...

    Text Solution

    |

  3. If bara and barb two non collinear vectors then the points l(1)bara+m(...

    Text Solution

    |

  4. If the vectors a bari+barj+bark, bari+b barj+bark, bari+barj+c bark (a...

    Text Solution

    |

  5. The values of lambda such that (x, y, z) ne (0, 0, 0) and (i + j + 3k)...

    Text Solution

    |

  6. A vector bare whose magnitude is 10 and d.c's are all equal angles mad...

    Text Solution

    |

  7. ABC is any triangle and P is a point on the side BC. If Q is a point s...

    Text Solution

    |

  8. In DeltaOAB, E is the mid point of AB and F is a point on OA such that...

    Text Solution

    |

  9. ABC is a triangle and 'O', any point in the palne of the triangle. The...

    Text Solution

    |

  10. In a parallelogram ABCD, P is the mid point of the side AD. The line ...

    Text Solution

    |

  11. OABC is a tetrahedron D and E are the mid points of the edges bar(OA)...

    Text Solution

    |

  12. In the Cartesian plane, O is the origin of the coordinate axes. A pers...

    Text Solution

    |

  13. ABCDEF be a regular hexagon in the xy plane and bar(AB)=4bari. Then ba...

    Text Solution

    |

  14. The projections of a vector on the three coordinate axes are 6, -3, 2 ...

    Text Solution

    |

  15. If the vectors AB = -3i + 4k and AC = 5i - 2j + 4k are the sides of a ...

    Text Solution

    |

  16. If bara and barb are non-collinear vectors, then the value of alpha fo...

    Text Solution

    |

  17. A plane containing the point (3, 2, 0) and the line (x+1)/(1)=(y-2)/(5...

    Text Solution

    |