Home
Class 11
MATHS
The direction ratios of a line are (-6,2...

The direction ratios of a line are (-6,2,3) Find 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

  • DIRECTION COSINES AND DIRECTION RATIOS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (6A)|7 Videos

  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(d)|15 Videos

  • FUNCTIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE-1 (C)|34 Videos

Similar Questions

Explore conceptually related problems

If the direction ratios of a line are (3,4,0) find its direction cosines and also the angles made with the coordinate axes.

If (1,2,1), (1,-3,2) are the direction ratios of two lines and (l, m,n) are the direction cosines of a line perpendicular to the given lines, then l + m + n

If (2, 1, -1) and (1, -1, -1) are direction ratios of two lines, then the direction cosines of a line perpendicular to both the lines are

If (1,-2,-2) and (0,2,1) are direction ratios of two lines, then direction cosines of a line perpendicular to both the lines are

If (l_(1),m_(1),n_(1)) and (l_(2),m_(2),n_(2)) are the direction cosines of two lines find the direction cosines of the line which is perpendicular to both these lines.

A line makes angles 90^(@), 60^(@) , 30^(@) with the positive direction of X,Y,Z axes respectively. Find its direction cosisnes.

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIRECTION COSINES AND DIRECTION RATIOS -TEXTUAL EXERCISE -6(B)
  1. Find the direction ratios of the line joining the points (3,4,0) and (...

    Text Solution

    |

  2. The direction ratios of a line are (-6,2,3) Find its direction cosines...

    Text Solution

    |

  3. Find the conine of the angle between the lines whose direction cosines...

    Text Solution

    |

  4. Find the angle between the lines whose direction ratios are (1,1,2)(sq...

    Text Solution

    |

  5. Show that the lines with direction cosines ((12)/(13),(-3)/(13),(-4)/(...

    Text Solution

    |

  6. O is the origin, P(2,3,4) and Q(1,k,1) are points such that bar(OP)bot...

    Text Solution

    |

  7. If the direction ratios of a line are (3,4,0) find its direction cosin...

    Text Solution

    |

  8. Show that the line through the points (1,-1,2), (3,4,-2) is perpendicu...

    Text Solution

    |

  9. Find the angle between bar(DC) and bar(AB) where A = (3,4,5), B = (4,6...

    Text Solution

    |

  10. Find the direciton cosines of a line which is perpendicular to the li...

    Text Solution

    |

  11. Show that the points (2,3,-4), (1,-2,3) and (3,8,-11) are collinear.

    Text Solution

    |

  12. Show that the points (4,7,8), (2,3,4) and (-1,-2,1),(1,2,5) are vertic...

    Text Solution

    |

  13. Show that the lines whose direction cosines are given by l+m+n=0, 2mn...

    Text Solution

    |

  14. Find the angle between the lines whose direction cosines satisfy the e...

    Text Solution

    |

  15. If a line makes angles alpha, beta, lambda,delta with the four diagon...

    Text Solution

    |

  16. If (l(1),m(1),n1),(l(2),m(2),n(2)) are d.c.s of two intersecting lines...

    Text Solution

    |

  17. A (-1,2-3), B(5,0,-6), C(0,4,-1) are three points, Show that direction...

    Text Solution

    |

  18. If (6,10,10),(1,0,-5), (6,-10,0) are vertices of a triangle, find the ...

    Text Solution

    |

  19. If the vertices of a triangle are A(1,4,2), B(-2,1,2),C(2,3,-4) then f...

    Text Solution

    |

  20. Find the angle between the lines whose direction cosines are given by ...

    Text Solution

    |