Home
Class 12
MATHS
Find the equation of the plane which con...

Find the equation of the plane which contains the line of
intersection of the planes `vecr .(hati+2 hatj+3 hatk)-4 =0`, `vecr .(2 hati+hatj-hatk)+5=0` and which is perpendicular
to the plane `vecr .(5 hati+3 hatj-6 hatk)+8=0`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|114 Videos

  • VECTOR ALGEBRA

    V PUBLICATION|Exercise QUESTION BANK|117 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through the line of intersection of the planes vecr .(hati+hatj+hatk)=1 and vecr.(2 hati+3 hatj-hatk)+4=0 and parallel to x -axis.

Find the vector equation of the plane passing through the intersection of the palnes vecr.(2hati+2hatj-hat3k) = 7, vecr.(2hati+5hatj+3hatk) = 9 and through the point (2, 1, 3)

Find the vector equation of the line passing through (1,2,3) and parallel to the planes vecr .(hati-hatj+2 hatk)=5 and vecr .(3 hati+hatj+hatk)=6

Find the vector equation of the plane passing through the intersection of the planes barr.(hati+hatj+hatk)=6 and barr.(2hati+3hatj+4hatk)=-5 at the point (1,1,1) .

Find the vector equation of the line passing through (1,2,3) and perpendicular to the plane vecr.(hati+2hatj-5hatk)+9=0

Find the eqation of the plane passing through (a,b,c) and parallel to the plane vecr.(hati+hatj+hatk)=2

Find the distance of a point (2,5,-3) from the plane vecr .(6 hati-3 hatj+2 hatk)=4

Find the cartesian equation fo the following planes. vecr.(hati+hatj-hatk)=2

V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  2. If O be the origin and the co-ordinates of P be (1,2,-3), then find th...

    Text Solution

    |

  3. Find the equation of the plane which contains the line of intersectio...

    Text Solution

    |

  4. Find the distance of the point (-1,-5,-10) from the point of intersecț...

    Text Solution

    |

  5. Find the vector equation of the line passing through (1,2,3) and paral...

    Text Solution

    |

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

    Text Solution

    |

  7. Prove that if a plane has the intercepts a, b, c and it is at a distan...

    Text Solution

    |

  8. Distance between the two planes: '2 x+3 y+4 z=4' and '4 x+6 y+8 z=(12)...

    Text Solution

    |

  9. The planes '2 x-y+4 z=5' and '5 x-2.5 y+10 z=6' are

    Text Solution

    |

  10. Can a line have direction angles 45^circ, 60^circ, 135^circ?

    Text Solution

    |

  11. A line makes angles of 45^circ and 60^circ with the positive axes of X...

    Text Solution

    |

  12. Find the direction cosine of a line which makes equal angles with the...

    Text Solution

    |

  13. 1, '-2,-2' are direction ratios of a line. What are its direction cosi...

    Text Solution

    |

  14. Find d.c.'s of the line passing through the points 'P(4,3,-5)' and 'Q(...

    Text Solution

    |

  15. A line passes through the points (6,-7,-1) and (2,-3,1) Find the direc...

    Text Solution

    |

  16. Find the angle between the lines whose diréction ratios are '2,3,4' an...

    Text Solution

    |

  17. Find the obtuse angle between the lines with direction ratios '3,-6,2'...

    Text Solution

    |

  18. If points 'P, Q' are '(2,3,-6)' and '(3,-4,5)', find the angle that OP...

    Text Solution

    |

  19. If A, B, C, D are the points (3,4,5),(4,6,3),(-1,2,4) and (1,0,5), fin...

    Text Solution

    |

  20. Find the coordinates of foot of perpendicular drawn from the point (1,...

    Text Solution

    |