Home
Class 12
MATHS
Consider a point P(-2, -1, -4) and the p...

Consider a point P(-2, -1, -4) and the plane `vecr.(3hati+4hatj+5hatk)=10. ` Write the cartesian equation of the given plane. Hence, find the perpendicular distance of P from the plane.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|86 Videos

  • VECTOR ALGEBRA

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|161 Videos

Similar Questions

Explore conceptually related problems

Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=10. Find the distance between the given plane and the plane 6x+8y+10z=3

Find the distance of point P(3,4,5) from the YZ-plane.

Let the vector equation of a plane be vecr.(2hati+4hatj+3hatk)=12 (i) Write the cartesian equation of the plane.

Let the equation of a plane be barr.(2hati-3hatj+5hatk)=7 , then find the Cartesian equation of the plane.

Consider the plane passing through (2, 3, 5) and perpendiular to the vector 4hati+2hatj-3hatk Find the cartesian equation of the plane

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

The distance of the point (4, 2, 3) from the plane vecr.(6hati+2hatj-9hatk)=46 is

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

Consider the plane passing through (2, 3, 5) and perpendiular to the vector 4hati+2hatj-3hatk Find the vector equation of the plane

Find the cartesian equation fo the following planes. vecr.(2hati+3hatj-4hatk)=1

A N EXCEL PUBLICATION-THREE DIMENSTIONAL GEOMETRY-QUESTION BANK
  1. Suppose that a plane meets the co-ordinate axes at A, B, C such that t...

    Text Solution

    |

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

    Text Solution

    |

  3. Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=...

    Text Solution

    |

  4. Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=...

    Text Solution

    |

  5. Consider the line (x-1)/2 = (y-2)/-3=(z+5)/4 and the plane 2x+4y-z=3. ...

    Text Solution

    |

  6. Consider the line vecr = (hati+2hatj-hatk)+lambda(2hati+hatj+4hatk) an...

    Text Solution

    |

  7. Consider the line vecr = (hati+2hatj-hatk)+lambda(2hati+hatj+4hatk) an...

    Text Solution

    |

  8. Determine the direction cosines of the normal to the plane and the dis...

    Text Solution

    |

  9. Determine the direction cosines of the normal to the plane and the dis...

    Text Solution

    |

  10. Determine the direction cosines of the normal to the plane and the dis...

    Text Solution

    |

  11. Determine the direction cosines of the normal to the plane and the d...

    Text Solution

    |

  12. Find the vector equation of a plane which is at a distance of 7 units ...

    Text Solution

    |

  13. Find the cartesian equation fo the following planes. vecr.(hati+hatj-h...

    Text Solution

    |

  14. Find the cartesian equation fo the following planes.vecr.(2hati+3hatj-...

    Text Solution

    |

  15. Find the cartesian equation fo the following planes. vecr.[(s-2t)hati+...

    Text Solution

    |

  16. Find the co-ordinates of the foot of the perpendicular drawn from th...

    Text Solution

    |

  17. In the following cases, find the co-ordinates of the foot of the perpe...

    Text Solution

    |

  18. Find the co-ordinates of the foot of the perpendicular drawn from th...

    Text Solution

    |

  19. Find the co-ordinates of the foot of the perpendicular drawn from the ...

    Text Solution

    |

  20. Find the vector and cartesian equations of the plane that passes throu...

    Text Solution

    |