Home
Class 12
MATHS
The direction cosines of two lines are g...

The direction cosines of two lines are given by the following equations. 3l+ m + 5n = 0, 6mn - 2nl + 5lm = 0. Find the angle between them.

Text Solution

Verified by Experts

The correct Answer is:
`cos^(-1)(1/6)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK|30 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE-11|23 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the direction cosines of the two lines which are connected by the relation l+m+n=0,mn−2nl−2lm=0

Find the angle between the lines whose direction cosines are given by the equation l + m + n = 0 and l^2 + m^2 - n^2 = 0.

The direction cosines of line satisfy the relations lambda(l+m) = n and lm + mn + ln = 0. The value of lambda for which the two lines are perpendicualr to each other is ..........

The direction cosines of the line passing through (3, 4, 5) and (4, 5, 6) is ........

Find the direction cosines of the line passing through the two points (-2, 4, -5) and (1, 2, 3).

The direction ratios of the line x-y+z-5=0=x-3y-6 are

Show that the straight lines whose direction cosines are given by 2l + 2m - n = 0 and mn + nl + Im = 0 are at right angles.

The direction cosines of the line drawn from P(-5,3,1) and Q(1,5,-2) is......

Two sides of a triangle are given by the roots of the equation x^(2) -2sqrt3 x+2 =0. The angle between the sides is (pi)/(3). Find the perimeter of Delta.

Find the equations of the lines through the point of intersection of the lines x - y + 1 = 0 and 2x - 3y + 5 =0 and whose distance from the point (3,2) is (7)/(5) .

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK
  1. If the distance of the plane x - y + z + lambda = 0 from the point (1,...

    Text Solution

    |

  2. The direction cosines of two lines are 1, -2,-2 and 0, 2, 1. Find the ...

    Text Solution

    |

  3. The direction cosines of two lines are given by the following equation...

    Text Solution

    |

  4. Show that the line passing through the points (4, 7, 8) and (2, 3, 4) ...

    Text Solution

    |

  5. Show that the line passing through (1, -1, 2) and (3, 4, -2) is perpen...

    Text Solution

    |

  6. Find the angle between the lines (5-x)/(-2)=(y+3)/(1)=(1-z)/(3) and x/...

    Text Solution

    |

  7. Show that the lines (x-5)/(7)=(y+2)/(-5)=z/1 and x/1=y/2=z/3 are perpe...

    Text Solution

    |

  8. Find the co-ordinates of the point where the line (x+1)/(2)=(y+2)/(3)=...

    Text Solution

    |

  9. Find the co-ordinates of the point where the line through A(3, 4, 1) a...

    Text Solution

    |

  10. Find the coordinates of the foot of perpendicular drawn from the point...

    Text Solution

    |

  11. Find the foot of perpendicular from the point (0, 2, 3) on the line (x...

    Text Solution

    |

  12. Find the image of the point (3, 5, 3) with respect to the line x/1=(y-...

    Text Solution

    |

  13. Find the equation of the plane passing through the points (1, 2, 3) an...

    Text Solution

    |

  14. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  15. Find the equation of the plane passing through the point (3, 4, -1) an...

    Text Solution

    |

  16. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  17. If the points (1, 1, lambda) and (-3, 0, 1) be equidistant from the pl...

    Text Solution

    |

  18. Find the vector equation of the plane containing the lines vecr=(hati+...

    Text Solution

    |

  19. Find the equation of the plane containing two parallel lines (x-4)/(1)...

    Text Solution

    |

  20. Show that the line vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in the...

    Text Solution

    |