Home
Class 12
MATHS
Find the angle between two lines whose d...

Find the angle between two lines whose direction ratios are proportional to `1,1,2a n d(sqrt(3)-1),(-sqrt(3)-1),4` .

Text Solution

Verified by Experts

The correct Answer is:
`60^(@)`
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 B|30 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 C|7 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|23 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

  • VECTORS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the acute angle between the lines whose direction ratios are proportional to 2:3:6 and 1:2: 2.

Find the angle between the vectors with direction ratios proportional to 4,-3,5a n d3,4,5.

Find the angle between the vectors with direction ratios proportional to 1,-2,1 and 4,3, 2.

Find the angle between the pairs of lines with direction ratio proportional to: 1, 2, -2, and -2, 2, 1

Find the angle between the vectors whose direction cosines are proportional to 2,3,-6 and 3,-4,5.

Find the angle between the pairs of lines with direction ratio proportional to: 2, 2, 1 and 4, 1, 8

Find the angel between the vectors with direction ratios proportional to 1, -2, 1 and 4, 3, 2.

Find the angle between the pairs of lines with direction ratio proportional to: 5, -12, 13 and -3, 4, 5

Find angle between the two lines whose direction ratios are 1,-2,1 and 4,3,2 respectively

Find the angle between the lines whose slopes are -3 and -1/(2) .

NAGEEN PRAKASHAN ENGLISH-THREE-DIMENSIONAL GEOMETRY -Exercise 11 A
  1. Find the direction cosines of that line whose direction ratios are as ...

    Text Solution

    |

  2. Find the direction cosines of the line joining the following points : ...

    Text Solution

    |

  3. Show that the point A(2,-3,-4), B(1,2,3), C(3,-8,-11) are collinear.

    Text Solution

    |

  4. Find the angle between those lines whose direction ratios are as foll...

    Text Solution

    |

  5. Find the angle between the following vectors : (i) veca = 2hati-6ha...

    Text Solution

    |

  6. Show that the joint of the points (1,2,3), (4,5,7) is parallel to the ...

    Text Solution

    |

  7. If A (6,-6,0), B(-1,-7,6), C (3,-4, 4) and D (2,-9,2) be four points i...

    Text Solution

    |

  8. If vecr is a vector of magnitude 21 and has direction ratios 2, -3 an...

    Text Solution

    |

  9. Find the angles which the following vectors, makes form the co-ordinat...

    Text Solution

    |

  10. The pair of lines whose direction cosines are given by the equations 3...

    Text Solution

    |

  11. The direction cosines of two lines satisfying the conditions l + m +...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the angle between any two diagonals of a cube.

    Text Solution

    |

  14. Find the angle between two lines whose direction ratios are proport...

    Text Solution

    |

  15. Find the angles of a triangle whose verties are A(3,2,1), B(35,2) and ...

    Text Solution

    |

  16. If a line makes angles 90o," "135o," "45o with the x, y and z-axes ...

    Text Solution

    |

  17. Find the direction cosines of a line which makes equal angles with ...

    Text Solution

    |

  18. If a line has the direction ratios 18 , 12 , 4, then what are its ...

    Text Solution

    |

  19. Show that the points (2,3,4),(-1,-2,1),(5,8,7) are collinear.

    Text Solution

    |

  20. Find the direction cosines of the sides of the triangle whose vertice...

    Text Solution

    |