Home
Class 12
MATHS
Find the vector equation of the line pas...

Find the vector equation of the line passing through the point (1, 2, -4) and perpendicular to the two lines : `(x-8)/(3)=(y+19)/(-16)=(z-10)/(7)` and `(x-15)/(3)=(y-29)/(8)=(z-5)/(-5)`.

Text Solution

Verified by Experts

The correct Answer is:
`therefore vecr=(hati+2hatj-4hatk)+lambda(2hati+3hatj+6hatk)`
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

The equation of the straight line passing through the point (3,2) and perpendicular to the line y=x is,

Find the vector equation of a line passing through 3 hat i-5 hat j+7 hat k and perpendicular to theplane 3x-4y+5z=8.

What is the equation of line passing through (1, 2, 3) and perpendicular to 3x+4y -5z=6 ?

Find the cartesian equation of the line which passes through the point (-2, 4, -5) and parallel to the line given by (x+3)/(3)=(y-4)/(5)=(z+8)/(6)

Find the vector equation of a line passing| through (2, -1, 1) and parallel to the line whose equations are (x-3)/(2)=(y+1)/(7)=(z-2)/(-3)

Find the vector equation of a line passing through (2, -1, 1) and parallel to the line whose equation is (x-3)/(2)=(y+1)/(7)=(z-2)/(-3) .

Find the equation of the line passing through (-3,5) and perpendicular to the line through the points (2,5) and (-3,6) .

The distance of the point (1, 3, -7) from the plane passing through the point (1, -1, -1) having normal perpendicular to both the lines (x-1)/(1)=(y+2)/(-2)=(z-4)/(3) and (x-2)/(2)=(y+1)/(-1)=(z+7)/(-1) is

Find the equation of the plane through the points (2, 1,-1) and (-1, 3, 4) and perpendicular to the plane x - 2y + 4z = 10.

Find the equation of the line passing through the point (3, 0, 1) and parallel to the planes x + 2y = 0 and 3y – z = 0.

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

    |