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 cdot(hati+2hatj+3hatk) - 4 = 0` and `vecr cdot (2hati + hatj - hatk) +5 = 0` and which is perpendicular to the plane `vecr cdot (5hati+3hatj-6hatk) +8 =0`

Promotional Banner

Topper's Solved these Questions

  • Three Dimensional Geometry

    MODERN PUBLICATION|Exercise EXERCISE|491 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane which contain the line of intersection of the plane vecr.(hati+2hatj+3hatk)-4=0 and vecr.(2hati+hatj-hatk)+5=0 and which is perpendicular to the plane 5x+3y-6z+8=0 .

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

Find the equations of the plane which contains the line of intersections of the planes vecr.(hati-2hatj+3hatk)-4=0 and vecr.(-2hati+hatj+hatk)+5=0 and whose intercept on x-axis is equal to the on y-axis.

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

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

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

Find the equation of the plane passing through the line of intersection of the planes : vecr*(hati+3hatj)-6=0 and vecr*(3hati-hatj-4hatk)=0 , whose perpendicular distance form origin is unity.

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

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

Find the vector equation of the plane passing through the intersection of the planes : vecr*(2hati-hatj+2hatk)=2 and vecr*(3hati+hatj-2hatk)=-2 and perpendicular to the veca=5hati-2hatj+3hatk .

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and z...

    Text Solution

    |

  2. If O be the origin and the coordinates of P be (1, 2, – 3), then find ...

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that the S.D. between a diagonal of a rectangular parallelopiped...

    Text Solution

    |

  5. What is the equation of the xy-plane?

    Text Solution

    |

  6. If a line makes an angle alpha, beta, gamma with x axis, y axis and z ...

    Text Solution

    |

  7. Write the direction cosines of the vector : 2hati+2hatj+3hatk

    Text Solution

    |

  8. Find the vector equation of the line (x+4)/3=(y+3)/7=(z-5)/2

    Text Solution

    |

  9. Find the equation of a st line through (3,1,-5) and equally inclined t...

    Text Solution

    |

  10. The distance of the point (2,3,-5) from the plane x+2y-2z-9=0 is ........

    Text Solution

    |

  11. Find the distance of the plane x-3y+2z-8=0 from the origin.

    Text Solution

    |

  12. Find the intercepts cut off by the plane x+4y-2z=8 with the axes.

    Text Solution

    |

  13. Find the equation of the plane with intercept 9 on the y axis and para...

    Text Solution

    |

  14. What is the point of intersection of the line x=y=z with the plane x+2...

    Text Solution

    |

  15. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

    Text Solution

    |

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

    Text Solution

    |

  17. The co-ordinates of foot of the perpendicular drawn from the point (2,...

    Text Solution

    |

  18. If alpha, beta, gamma are the angles that a line makes with the positi...

    Text Solution

    |

  19. The distance of a point P(a,b,c) from x axis is:

    Text Solution

    |

  20. If the direction cosine of a line are < k,k,k >, then,

    Text Solution

    |