Home
Class 12
MATHS
The angle "bet"^(n) two line ( x+3...

The angle `"bet"^(n)` two line `( x+3)/(3) = (y-1)/(5) = (z +3)/(4) and ( x+1)/(1) =(4-y)/(-1) =(z-5)/(2) ` is ……..

Text Solution

Verified by Experts

The correct Answer is:
Angle `theta=cos^(-1)((8sqrt3)/(15))`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

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

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|173 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |69 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

The lines (x-1)/(3) = (y-1)/(-1) = (z+1)/0 and (x-4)/(2) = (y+0)/(0) = (z+1)/(3) are ......

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

The plane containing the two lines (x-3)/(1) = (y-2)/(4) = (z-1)/(5) and (x-2)/(1) = (y+3)/(-4) = (z+1)/(5) is 11x+my + nz = 28 where .............

The angle between the lines (x+1)/(2) + (y+3)/(2) = (z-4)/(-1) and (x-4)/(1) = (y+4)/(2) = (z+1)/(2) is........

Find the angle between the following pair of lines : (i) (x-2)/(2)=(y-1)/(5)=(z+3)/(-3) and (x+2)/(-1)=(y-4)/(8)=(z-5)/(4) (ii) x/2=y/2=z/1 and (x-5)/(4)=(y-2)/(1)=(z-3)/(8)

The lines (x-2)/(1)=(y-3)/(1)=(z-4)/(-k) and (x-1)/(k)=(y-4)/(2)=(z-5)/(1) are coplanar, if

The shortest distance the lines (x-3)/(3) = (y-8)/(-1) = (z-3)/(1) and (x+3)/(-3) = (y + 7)/(2) = (z-6)/(4) is..........

Find the shortest distance between the lines (x-1)/(2)=(y-2)/(3)=(z-3)/(4) and (x-2)/(3)=(y-4)/(4)=(z-5)/(5)

Prove that the lines x=2 (y-1)/(3) = (z-2)/(1) and x = (y-1)/(1) = (z+1)/(3) are skew lines.

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK
  1. The Cartesian equation of a line is (x+3)/(2)=(y-5)/(4)=(z+6)/(2) ...

    Text Solution

    |

  2. Find the angle between the lines vecr = (3 + lambda)hati + 2(1 + l...

    Text Solution

    |

  3. The angle "bet"^(n) two line ( x+3)/(3) = (y-1)/(5) = (z +3)/(4...

    Text Solution

    |

  4. Find the shortest distance between the lines l1 and l2 whose vector eq...

    Text Solution

    |

  5. Find the distance between the lines l1 and l2 given by vecr=hati+2hatj...

    Text Solution

    |

  6. Find the vector equation of the plane which is at a distance of (6)/(s...

    Text Solution

    |

  7. Find the direction cosines of the unit vector perpendicular to the pla...

    Text Solution

    |

  8. Find the distance of the plane 2x – 3y + 4z - 6 = 0 from the origin.

    Text Solution

    |

  9. Find the coordinates of the foot of the perpendicular drawn from the o...

    Text Solution

    |

  10. Find the vector and cartesian equations of the plane which passes thro...

    Text Solution

    |

  11. Find the vector equations of the plane passing through the points R(2,...

    Text Solution

    |

  12. Find the equation of the plane with intercepts 2, 3 and 4 on the x, y ...

    Text Solution

    |

  13. Find the vector equation of the plane passing through the intersection...

    Text Solution

    |

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

    Text Solution

    |

  15. Find the angle between the two planes 2x + y - 2z = 5 and 3x – 6y – 2z...

    Text Solution

    |

  16. Find the angle between the two planes 3x – 6y + 2z = 7 and 2x + 2y – 2...

    Text Solution

    |

  17. Find the distance of a point (2, 5, -3) from the plane vecr.(6hati-3ha...

    Text Solution

    |

  18. Find the angle between the line (x+1)/(2)=y/3=(z-3)/(6) and the plane ...

    Text Solution

    |

  19. A line makes the angle alpha, beta , gamma and delta with the diagonal...

    Text Solution

    |

  20. Find the equation of the plane that contains the point (1,-1, 2) and i...

    Text Solution

    |