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

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.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    RD SHARMA ENGLISH|Exercise All Questions|244 Videos
  • VECTOR OR CROSS PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|147 Videos

Similar Questions

Explore conceptually related problems

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

The vector equation of the line passing through the point (-1,5,4) and perpendicular to the plane z=0 is

The equation of the line passing though the point (1,1,-1) and perpendicular to the plane x -2y - 3z =7 is :

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

Find the equation of the plane passing through the point (-1,-1,2)a n d perpendicular to the planes 3x+2y-3z=1 a n d5x-4y+z=5.

Equations of the line passing through (1,1,1) and perpendicular to the plane 2x+3y+z+5=0 are

Find the equation of the plane passing through the points (-1,1,1) and (1,-1,1) and perpendicular to the plane x+2y+2z=5.

Find the equation of the plane passing through the points (-1,1,1) and (1,-1,1) and perpendicular to the plane x+2y+2z=5.

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

Find the equation of the plane passing through the point (1, 3, 2) and perpendicular to each of the planes : x+2y+3z=5\ a n d\ 3x+3y+z=0

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. The plane x-2y+3z=0 is rotated through a right angle about the line of...

    Text Solution

    |

  2. The plane l x+m y=0 is rotated through an angle alpha about its line o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If 30 oxen can plough 1/7th of the field in 4 hrs , in how many hour w...

    Text Solution

    |

  6. Find the equation of the plane through the points (1,0,-1),(3,2,2) and...

    Text Solution

    |

  7. Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y...

    Text Solution

    |

  8. Show that the line whose vector equation is vec r=(2 hat i-2 hat j+3)...

    Text Solution

    |

  9. Show that the line whose vector equation is vec rdot(2 hat i+5 hat j-...

    Text Solution

    |

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

    Text Solution

    |

  11. Show that the line vec r= hat i+ hat j+lambda(2 hat i+ hat j+4 hat k)...

    Text Solution

    |

  12. Find the plane passing through (4,-1,2) and parallel to the lines (x+2...

    Text Solution

    |

  13. Find the angle between the lines vec r= dot( hat i+2 hat j- hat k)+la...

    Text Solution

    |

  14. Find the angle between the lines x-2y+z=0=x+2y-2za n dx+2y+z=0=3x+9y+5...

    Text Solution

    |

  15. Find the distance between the parallel planes, vec r.(2 hat i-3 hat j...

    Text Solution

    |

  16. Find the distance between the parallel planes 2x-y+2z+3=0a n d4x-2y+4z...

    Text Solution

    |

  17. Find the distance between the parallel planes vec r.( hat i+2 hat j+3...

    Text Solution

    |

  18. Find the equation of the plane which passes through the point (3,4,-1)...

    Text Solution

    |

  19. Find the distance of the point (3, 3, 3) from the plane vec r.(5 hat ...

    Text Solution

    |

  20. Find the equations of the planes parallel to the plane x+2y-2z+8=0 wh...

    Text Solution

    |