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

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
  • THREE-DIMENSIONAL GEOMETRY

    CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

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)

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)

Find the Vector and Cartesian equations 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)

Determine the equations of the line passing through the point (1, 2, -4 ) and perpendicular to the two lines (x-8)/8=(y+9)/(-16)=(z-10)/7a n d(x-15)/3=(y-29)/8=(z-5)/(-5)dot

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 2 x-y+3z-5=0.

Find the vector equation of the line passing through the point (1,-1,2) and perpendicular to the plane 4x-2y-5z-2=0.

Find the equation of a line passing through the point (-1,0) and perpendicular to the line x+5y=4 .

Find the equation of a line passes through the point (-2,1) and perpendicular to the line 3x+y=5 .

Find the equation of a line passing through the point (-1,3,-2) and perpendicular to the lines: (x+2)/(-3)=(y-1)/(2)=(z+1)/5andx/1=y/2=z/3

Equation of a line passing through (-1,2,-3) and perpendicular to the plane 2x+3y+z+5=0 is

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

    Text Solution

    |

  2. Find the equation of line x+y-z-3=0=2x+3y+z+4 in symmetric form. Find ...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the vector equation of line passing through A(3,4-7)a n dB(1,-...

    Text Solution

    |

  5. Find Cartesian and vector equation of the line which passes through...

    Text Solution

    |

  6. Find the equation of a line which passes through the point (2,3,4) ...

    Text Solution

    |

  7. Find the points where line (x-1)/2=(y+2)/(-1)=z/1 intersects x y ,y za...

    Text Solution

    |

  8. A mirror and source of light are situated at the origin O and a point ...

    Text Solution

    |

  9. The Cartesian equation of a line is (x-3)/2=(y+1)/(-2)=(z-3)/5 . Fi...

    Text Solution

    |

  10. The Cartesian equations of a line are 6x-2=3y+1=2z-2. Find its dire...

    Text Solution

    |

  11. A line passes through the point with position vector 2 hat i-3 hat ...

    Text Solution

    |

  12. Find the plane of the intersection of x^2+y^2+z^2+2x+2y+2=0 and 4x^2...

    Text Solution

    |

  13. Let l1a n dl2 be the two skew lines. If P ,Q are two distinct points o...

    Text Solution

    |

  14. If the lines (x-1)/(-3)=(y-2)/(2k)=(z-3)/(-2) and (x-1)/(3k)=(y-5)/1=(...

    Text Solution

    |

  15. Find the angle between the lines 2x=3y=-z and 6x=-y=-4z

    Text Solution

    |

  16. Find the length of the perpendicular drawn from the point(5,4,-1) t...

    Text Solution

    |

  17. The equations of motion of a rocket are x=2t ,y=-4ta n dz=4t , wher...

    Text Solution

    |

  18. Find the shortest distance between the lines vec r=(1-lambda) hat i...

    Text Solution

    |

  19. Find the image of the point (1, 2, 3) in the line (x-6)/(3)=(y-7)/(2)=...

    Text Solution

    |

  20. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersect...

    Text Solution

    |