Home
Class 12
MATHS
Find the equation of plane passing thro...

Find the equation of plane passing through the point (-1,-1,2) and perpendicular to each of the plane `vecr(2hatj-3hatk)=2 and vecr.(5hati-4hatj+hatk)=6`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|9 Videos
  • THREE DIMENSIONAL GEOMETRY

    CBSE COMPLEMENTARY MATERIAL|Exercise TWO MARK QUESTIONS|11 Videos
  • RELATIONS AND FUNCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|7 Videos
  • VECTORS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR MARKS QUESTIONS|35 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a line passing through the point (1,2,3) and perpendicular to the plane vecr.(2hati-3hatj+4hatk) = 1 .

Find the vector equation of a line passing through the point A(1,-1,2) and perpendicular to the plane vecr.(2hati-hatj+3hatk)=5 .

Find the vector equation to the plane through the point -hati+3hatj+2hatk perpendicular to each of the planes vecr.(hati+2hatj+2hatk)=25 and vecr.(3hati+3hatj+2hatk)=8.

Find the equation of the plane passes through the point (2,1,-2) and parallel to the plane vecr.(3hati+hatj-hatk) = 0 .

Find the vector and Cartesian quations of the plane passing through the point (3,-1,2) and parallel to the lines vecr=(-hatj+3hatk)+lambda(2hati-5hatj-hatk) and vecr.(hati-3hatj+hatk)+mu(-5hati+4hatj) .

Find the vector equation of a lie passing through the origin perpendicular to the plane vecr.(hati+2hatj+3hatk)=3 .

The equation of plane passing through the point hati+hatj+hatk and paralel to the plane vecr.(2hati-hatj+2hatk)=5 is

Find the vector equation of the plane passing through the point (1,1,1) and passing through the intersection of the planes vecr.(hati-hatj+3hatk)+1=0 and vecr.(2hati+hatj-hatk)-5=0 .

Find the equation of a plane passing through the intersection of the planes vecr . (hati+3hatj-hatk) = 5 and vecr.(2hati-hatj+hatk) = 3 and passes through the point (2,1,-2) .

Find the equation of a plane passing through the intersection of the planes vecr.(2hati-7hatj+4hatk)=3 and vecr.(3hati-5hatj+4hatk) + 11 - 0 and passes through the point (-2hati+hatj+3hatk) .

CBSE COMPLEMENTARY MATERIAL-THREE DIMENSIONAL GEOMETRY -FOUR MARK QUESTIONS
  1. Find the equation of a plane containing the point (0,-1,-1),(-4,4,4...

    Text Solution

    |

  2. Find the equation of the plane which is perpendicualr to the plane v...

    Text Solution

    |

  3. Find the distance of the point (3,4,5) from the plane x+y+z=2 measured...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the vector equation of the line passing through the poin...

    Text Solution

    |

  6. Find the equation of the plane through the points A(3,4,2) and B(7,0,6...

    Text Solution

    |

  7. The equation of the plane through the intersection of the planes vecr....

    Text Solution

    |

  8. Find the image of point (3,-2,1) in the plane 3x- y + 4z = 2.

    Text Solution

    |

  9. Find image (reflection )of the point (7,4,-3) in the line (x)/(1)=(y-1...

    Text Solution

    |

  10. find the equation of a plane passing through the points (2,-1,0) and (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Show that the lines (x+1)/(3)=(y+3)/(5) =(z+5)/(7) " and " (x-2)/(1...

    Text Solution

    |

  14. Find the shortest distacne between the lines vecr=hati+2hatj+3hatk+m...

    Text Solution

    |

  15. Find the distacne of the point (2,3,-4) from the line (x+2)/(3)=(2y+3)...

    Text Solution

    |

  16. Find the equation of plane passing through the point (-1,-1,2) and pe...

    Text Solution

    |

  17. Find the equation of a plane passing through (-1,3,2) and parallel to ...

    Text Solution

    |

  18. Show that the plane vecr.(hati-3hatj+5hatk)=7 contains the line vecr=(...

    Text Solution

    |

  19. Check the co planarity of lines vecr=(-3hati+hatj+5hatk)+lambda(-3h...

    Text Solution

    |