Home
Class 12
MATHS
Find the distance between the parallel p...

Find the distance between the parallel planes `x-2y-2z=3 and 2x-4y-4z=7`.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(6)` units
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.1|14 Videos

  • APPLICATIONS OF VECTOR ALGEBRA

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 6.2|10 Videos

  • APPLICATIONS OF MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (II. Answer the following)|15 Videos

  • COMPLEX NUMBERS

    PREMIERS PUBLISHERS|Exercise Problem for practice|45 Videos

Similar Questions

Explore conceptually related problems

Find the distance between the parallel planes x +2y-2z +1= 0 and 2x + 4y - 4z+5=0.

Distance between the parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

Find the acute angle between the planes 2x-3y+5z=1 and x-y-z=7 .

Find the angle between the two planes 3x - 6y + 2z =7 and 2x + 2y – 2z = 5.

Find the acute angle between the following lines. 2x=3y=-zand6x=-y=-4z

Find the angle between the planes 2x – 3y + 4z= 1 and - x + y = 4

The distance between the planes x + 2y + 3z + 7 = 0 and 2x + 4y + 6z + 7 = 0 is

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

PREMIERS PUBLISHERS-APPLICATIONS OF VECTOR ALGEBRA-PROBLEMS FOR PRACTICE (Answer the following questions)
  1. Find the distance between the parallel planes x-2y-2z=3 and 2x-4y-4z=7...

    Text Solution

    |

  2. Prove that the sum of the squares of the squares of tha diagonals of a...

    Text Solution

    |

  3. Show that (veca xx vecb) *(vecc xx vecd) +(vecb xx vecc) *(veca xx vec...

    Text Solution

    |

  4. Find the vector and cartesian equation of the line through the point (...

    Text Solution

    |

  5. Find the vector and cartesian equation of the line joining the points ...

    Text Solution

    |

  6. Find the angle between the lines (x-1)/(2)=(y+1)/(3)=(z-4)/(6) and vec...

    Text Solution

    |

  7. Find the distance between the parallel lines vecr=(hati-hatj)+t(2hati-...

    Text Solution

    |

  8. Show that the lines vecr=(hati-hatj)+t(2hati+hatk) and vecr=(2hati-hat...

    Text Solution

    |

  9. Find the vector and cartesian equation of a plane which is at a distan...

    Text Solution

    |

  10. Find the vector and cartesian equation of the plane passing through (2...

    Text Solution

    |

  11. Find the vector and cartesian equation of the plane passing through (2...

    Text Solution

    |

  12. Find the Vector and Cartesian equation of the plane containing the lin...

    Text Solution

    |

  13. Find the vector cartesian equation of the plane passing through the po...

    Text Solution

    |

  14. Find the vector and certesian equation of the plane through the points...

    Text Solution

    |

  15. Find the equation of the plane passing through the points (3, 4, 2), (...

    Text Solution

    |

  16. Find the equation of the plane passingthrough the intersection of the...

    Text Solution

    |

  17. Find the distance between the parallel planes vecr*(-hati-hatj+hatk)=3...

    Text Solution

    |

  18. Find the coordinates of the point where the line vecr=(hati+2hatj-5ha...

    Text Solution

    |

  19. The value of [hati+hatj,hatj+hatk,hatk+hati] is equal to :

    Text Solution

    |

  20. If abs(veca+vecb)=abs(veca-vecb) prove that veca and vecb are perpendi...

    Text Solution

    |

  21. Find the shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3...

    Text Solution

    |