Home
Class 12
MATHS
The projection of a line segment overlin...

The projection of a line segment `overline(OP)`, through origin O, on the co-ordinate axes are 6, 2, 3. Find the length of the line segment OP and its direction cosines.

Text Solution

Verified by Experts

The correct Answer is:
`(6)/(7), (2)/(7), (3)/(7)`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbooks Solutions (Exercise 13(b)) (True (T) or False (F))|47 Videos
  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbooks Solutions (Exercise 13(c)) (True (T) or False (F))|47 Videos
  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbooks Solutions (Exercise 13(a)) True (T) or False (F)|4 Videos
  • SAMPLE PAPER 5

    ARIHANT PUBLICATION|Exercise Long answer type question|13 Videos
  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Chapter Practice (Long Answer Type Questions)|8 Videos

Similar Questions

Explore conceptually related problems

The projection of a line segment of x, y and z-axis respectively are 12, 4, 3.Find the length and the direction cosines of the line segment.

The projection of a line segment axes are 3,4,12.Find the length and direction cosines of the line.

Write the projection of the line segment joining the points (2,1,3) and (3,2,4) on z-axis.

Write the projection of the line segment joining (2,4,3) and (3,2,4) on yz-plane.

ARIHANT PUBLICATION-THREE-DIMENSIONAL GEOMETRY-Odisha Bureau.s Textbooks Solutions (Exercise 13(a))
  1. Show that the points (3,-2,4)(1,1,1) and (-1,4,-1) are collinear.

    Text Solution

    |

  2. Show that points (0,1,2),(2,5,8),(5,6,6) and (3,2,0) from a parallelog...

    Text Solution

    |

  3. Find the co-ordinates of the foot of the perpendicular from the point ...

    Text Solution

    |

  4. Find the co-ordinates of the point where the perpendicular from the or...

    Text Solution

    |

  5. Prove that the points P(3,2,-4),Q(5,4,-6) and R(9,8:-10) are collinea...

    Text Solution

    |

  6. If P (1,y,z) lies on the line through (3,2,-1) and (-4,6,3) find y & z...

    Text Solution

    |

  7. If A, B, C, D are the points (6,3,2), (3,5,7), (2,3,-1) and (3,5,-3) r...

    Text Solution

    |

  8. The projection of a line segment overline(OP), through origin O, on th...

    Text Solution

    |

  9. The projection of a line segment of x, y and z-axis respectively are 1...

    Text Solution

    |

  10. If A, B, C are the points (1, 4, 2), (-2,1,2) and (2,-3,4) respectivel...

    Text Solution

    |

  11. Find the acute angle between the lines passing through (-3, -1, 0), (2...

    Text Solution

    |

  12. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  13. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  14. Find the angle which a diagonal of a cube makes with one of its edges.

    Text Solution

    |

  15. Find the angle between the lines whose dcs. L, m, n are connected by t...

    Text Solution

    |

  16. If the edges of a rectangular parallelopiped are of lengths a, b, c, t...

    Text Solution

    |

  17. If l(1), m(1), n(1) and l(2), m(2), n(2)  are the direction cosines of...

    Text Solution

    |