Home
Class 12
MATHS
Find the distance of a point (2, 5, -3) ...

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

Text Solution

Verified by Experts

The correct Answer is:
`(13)/(7)`
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS (MCQs)|173 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |69 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the image of the point (1, 3, 4) in the plane vecr.(2hati-hatj+hatk)+3=0

Find the equation of the plane passing through the point (3, 4, -1) and parallel to the plane vecr.(2hati-3hatj+5hatk)+2=0

Find the distance of the point (-1, -5, -10) from the point of intersection of the line vecr=2hati-hatj+2hatk+lambda(3hati+4hatj+2hatk) and the plane vecr.(hati-hatj+hatk)=5

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

Find the distance between the parallel planes vecr.(2hati-3hatj+6hatk)=5 and vecr.(6hati-9hatj+18hatk)+20=0

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

Find the direction cosines of perpendicular from the origin to the plane vecr.(6hati-3hatj-2hatk)+1=0 .

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

Find the direction cosines of the unit vector perpendicular to the plane vecr.(6hati-3hatj-2hatk)+1=0 passing through the origin.

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

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK
  1. Find the shortest distance between the lines l1 and l2 whose vector eq...

    Text Solution

    |

  2. Find the distance between the lines l1 and l2 given by vecr=hati+2hatj...

    Text Solution

    |

  3. Find the vector equation of the plane which is at a distance of (6)/(s...

    Text Solution

    |

  4. Find the direction cosines of the unit vector perpendicular to the pla...

    Text Solution

    |

  5. Find the distance of the plane 2x – 3y + 4z - 6 = 0 from the origin.

    Text Solution

    |

  6. Find the coordinates of the foot of the perpendicular drawn from the o...

    Text Solution

    |

  7. Find the vector and cartesian equations of the plane which passes thro...

    Text Solution

    |

  8. Find the vector equations of the plane passing through the points R(2,...

    Text Solution

    |

  9. Find the equation of the plane with intercepts 2, 3 and 4 on the x, y ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Find the angle between the two planes 2x + y - 2z = 5 and 3x – 6y – 2z...

    Text Solution

    |

  13. Find the angle between the two planes 3x – 6y + 2z = 7 and 2x + 2y – 2...

    Text Solution

    |

  14. Find the distance of a point (2, 5, -3) from the plane vecr.(6hati-3ha...

    Text Solution

    |

  15. Find the angle between the line (x+1)/(2)=y/3=(z-3)/(6) and the plane ...

    Text Solution

    |

  16. A line makes the angle alpha, beta , gamma and delta with the diagonal...

    Text Solution

    |

  17. Find the equation of the plane that contains the point (1,-1, 2) and i...

    Text Solution

    |

  18. Find the distance between the point P (6,5, 9) and the plane determine...

    Text Solution

    |

  19. Show that the lines (x-a+d)/(alpha- delta)=(y-a)/(alpha)=(z-a-d)/(alph...

    Text Solution

    |

  20. Find the coordinates of the point where the line through the points A ...

    Text Solution

    |