Home
Class 12
MATHS
Find the length and the foot of the perp...

Find the length and the foot of the perpendicular from the point `(7, 14, 5)` to the plane `2x+4y-z=2.`

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(189)` units
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions ( MCQs)|32 Videos

  • SAMPLE QUESTION PAPER

    OMEGA PUBLICATION|Exercise QUESTIONS|78 Videos

  • VECTOR ALGEBRA

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |23 Videos

Similar Questions

Explore conceptually related problems

Find the length and the foot of perpendicular from the point (1,3/2,2) to the plane 2x-2y+4z+5=0.

find the foot of perpendicular drawn from the point (2,-3,5) on the plane 3x+4y-2z=20

Find the length and the foot of the perpendicular from: P(1,1,2) to the plane 2x-2y+4z+5=0

Find the foot of the perpendicular from the point (-1, 2) on the st. line x- y +5 =0.

Find the foot and length of the perpendicular from the point (3,4,5) to the plane: 2x-5y+3z=39 .

find the length and the foot of perpendicular drawn from the point (1,1,2) to the plane vecr.(2hati-2hatj+4hatk)+5=0 .

Find the co-ordinates of the foot of the perpendicular from the point(2,3,7) to the plane 3x-y-z=7 . Also find the length of the perpendicular.

Find the length and foot of perpendicular drawn from the point (3,2,1) onto the plane 2x-y+z+1=0. also find the equation of the plane in which they lie.

OMEGA PUBLICATION-THREE DIMENSIONAL GEOMETRY -Questions
  1. The vector equation of two lines are vec(r)=(1-t)hat(i)+(t-2)hat(j)...

    Text Solution

    |

  2. Find the equation of plane passing through (a,b,c) and parallel to the...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the co-ordinates of the foot of perpendicular drawn from the orig...

    Text Solution

    |

  5. Find the length and the foot of the perpendicular from the point (7, 1...

    Text Solution

    |

  6. Find vector equation of line passing through (1,2,3) and perpendicular...

    Text Solution

    |

  7. Find the shortest distance between the lines (x+1)/(7)=(y+1)/(-6)=(...

    Text Solution

    |

  8. Find the co-ordinates of the points where the line through the points ...

    Text Solution

    |

  9. Find the vector equation of the plane which is at a distance of 7 unit...

    Text Solution

    |

  10. Find the cartesian equation of plane vec(r)*(hat(i)+hat(j)-hat(k))=2

    Text Solution

    |

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

    Text Solution

    |

  12. Find the equations of the plane that passes through three points : (1,...

    Text Solution

    |

  13. Find the equation of the plane passing through the point ( 1, -1 , 2) ...

    Text Solution

    |

  14. Find the intercepts cut off by the plane 2x+y-z = 5

    Text Solution

    |

  15. Find the vector equation of the plane through the intersection of the ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  19. Find the angle between the planes whose vector equations are vec(r)(...

    Text Solution

    |

  20. Find the vector equation of plane that passes through the point (1,0,-...

    Text Solution

    |