Home
Class 12
MATHS
Find the distance of the point (-1, -5, ...

Find the distance of the point (-1, -5, -10) from the point of intersection of the line `vecr=2hati-hatj+2hatk+lambda(3hati+4hatj+2hatk)` and the plane `vecr.(hati-hatj+hatk)=5`

Text Solution

Verified by Experts

The correct Answer is:
`=13` units
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |69 Videos

  • THREE DIMENSIONAL GEOMETRY

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

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise EXERCISE-11.3|14 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

Show that the line vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in the plane vecr.(hati+2hatj-hatk)=3

Find the distance of a point (2, 5, -3) from the plane vecr.(6hati-3hatj+2hatk)=4

The angle between the line vecr=(5hati-hatj-4hatk)+lambda(2hati-hatj+hatk) and the plane barr.(3hati-4hatj-hatk)+5=0 is sin^(-1)((5)/(2sqrt(91))) .

Find the shortest distance between lines vecr=6hati+2hatj+2hatk+lambda (hati-2hatj+2hatk) and vecr=-4hati-hatk+mu(3hati-2hatj-2hatk).

Find the angle between the vectors 2hati-hatj+hatk and 3hati+4hatj-hatk .

Find the angle between the vector 2hati-3hatj+hatk and hati+hatj-2hatk .

Find the shortest distance between the lines vecr=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk) .

Find the equation of the plane through the line of intersection of vecr.(2hati-3hatj+4hatk)=1 and vecr.(hati-hatj)+4=0 and perpendicular to vecr.(2hati-hatj+hatk)+8=0

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+hatj+hatk)=1 and vecr.(2hati+3hatj-hatk)+4=0 and parallel to X- axis.

Find the shortest distance between the lines vecr=(4hati-hatj)+lambda(hati+2hatj-3hatk) and vecr=(hati-hatj+2hatk)+mu(2hati+4hatj-5hatk) .

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-MISCELLANEOUS EXERCISE-11
  1. Find the equation of a line parallel to X- axis and passing through th...

    Text Solution

    |

  2. If the coordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7), (...

    Text Solution

    |

  3. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(2) and (x-1)/(3k)=(y-1)/(1)=...

    Text Solution

    |

  4. Find the vector equation of the line passing through (1, 2, 3) and per...

    Text Solution

    |

  5. Find the equation of the plane passing through (a, b, c) and parallel ...

    Text Solution

    |

  6. Find the shortest distance between lines vecr=6hati+2hatj+2hatk+la...

    Text Solution

    |

  7. Find the coordinates of the point where the line through (5, 1, 6) and...

    Text Solution

    |

  8. Find the coordinates of the point where the line through (5, 1, 6) and...

    Text Solution

    |

  9. Find the coordinates of the point where the line through (3,--4,-5) an...

    Text Solution

    |

  10. Find the equation of the plane passing through the point (-1, 3, 2) an...

    Text Solution

    |

  11. If the points (1, 1, p) and (-3, 0, 1) be equidistant from the plane v...

    Text Solution

    |

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

    Text Solution

    |

  13. If O be the origin and the coordinates of P be (1, 2, - 3), then find ...

    Text Solution

    |

  14. Find the equation of the plane which contains the line of intersection...

    Text Solution

    |

  15. Find the distance of the point (-1, -5, -10) from the point of interse...

    Text Solution

    |

  16. Find the vector equation of the line passing through (1, 2, 3) and par...

    Text Solution

    |

  17. Find the vector equation of the line passing through the point (1, 2, ...

    Text Solution

    |

  18. Prove that if a plane has the intercepts a, b, c and is at a distance ...

    Text Solution

    |

  19. Distance between the two planes : 2x + 3y + 4z = 4 and 4x + 6y + 8z = ...

    Text Solution

    |

  20. The planes : 2x – y + 4z = 5 and 5x – 2.5 y + 10 z = 6 are

    Text Solution

    |