Home
Class 12
MATHS
Show that the line whose vector equation...

Show that the line whose vector equation is ` vec rdot(2 hat i+5 hat j-7 hat k)+lambda( hat i+3 hat j+4 hat k)` is parallel to the plane whose vector equation is ` vec rdot( hat i+ hat j- hat k)=7` . Also find the distance between them.

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
RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the angle between line (x+1)/3=(y-1)/2=(z-2)/4 and the plane 2x+y...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. Find the distance between the parallel planes x+y-z+4=0a n dx+y-z+5=0.

    Text Solution

    |

  16. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  17. If the line drawn from (4,-1,2) meets a plane at right angles at the p...

    Text Solution

    |

  18. If O is the origin and the coordinates of A are (a ,b , c) . Find the ...

    Text Solution

    |

  19. Find the vector equation of a lane passing through a point having p...

    Text Solution

    |

  20. The foot of perpendicular drawn from the origin to the plane is (4,-2,...

    Text Solution

    |