Home
Class 12
MATHS
Prove that the shortest distance between...

Prove that the shortest distance between the diagonals of a rectangular parallelopiped whose coterminous sides are a, b, c and the edges not meeting it are

A

`(bc)/sqrt(b^(2) + c^(2))`

B

`(ca)/sqrt(c^(2) + a^(2))`

C

`(ab)/sqrt(a^(2) + b^(2))`

D

`(abc)/sqrt(a^(2) + b^(2) + c^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos

Similar Questions

Explore conceptually related problems

The volume of a parallelopiped whose coterminous edges are 2veca , 2vecb , 2 vec c , is

What is the shortest distance between A(4,1) and C(8,4) ?

The shortest distance between a diagonal of a unit cube and the edge skew to it,is

The shortest distance between a diagonal of a cube, of edge-length one unit and the edge not meeting it, is

If the edges of a rectangular parallelopiped are 3,2,1 then the angle between a pair of diagonals is given by

The shortest distance of the point (a,b,c) from X-axis is

The shortest distance of the point (a, b, c) from y-axis is

If in a cube of edge of length 6sqrt(2) ,then shortest distance between a diagonal and an edge not meeting it, is

NIKITA PUBLICATION-LINE-MULTIPLE CHOICE QUESTIONS
  1. The position vector of the foot of the perpendicular draw from the poi...

    Text Solution

    |

  2. Find the length of the perpendicular drawn from the point (5, 4, -1) t...

    Text Solution

    |

  3. Find the shortest distance between the following lines : (i) vecr=4h...

    Text Solution

    |

  4. Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+l...

    Text Solution

    |

  5. The shortest distance between the lines vecr = (2hati - hatj) + lambda...

    Text Solution

    |

  6. The shortest distance between the lines vecr = (-hati - hatj) + lambd...

    Text Solution

    |

  7. Find the shortest distance between the lines ( x + 1 ...

    Text Solution

    |

  8. Find the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/...

    Text Solution

    |

  9. The shortest distance between the lines (x-5)/4 = (y-7)/-5 = (z+3)/-5 ...

    Text Solution

    |

  10. If OA=a, OB=b, OC=c are the co-terminus edges of regular parallelopipe...

    Text Solution

    |

  11. If OA=a, OB=b, OC=c are the co-terminus edges of regular parallelopip...

    Text Solution

    |

  12. Prove that the shortest distance between the diagonals of a rectangula...

    Text Solution

    |

  13. The line vecr = (8vec - 9vecb + 10vecc) + lambda(3veca - 16vecb + 7vec...

    Text Solution

    |

  14. The lines given by vecr = (hati - hatj) +lambda(2hati +hatk) and vecr ...

    Text Solution

    |

  15. The lines x/1=y/2=z/3 and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are

    Text Solution

    |

  16. If a,b,c and 1/(bc), 1/(ca), 1/(ab) are the direction ratio of two lin...

    Text Solution

    |

  17. The lines (x-1)/2= (y-2)/4 = (z-3)/6 and (x-1)/4 = (y-2)/5 = (z-3)/7 a...

    Text Solution

    |

  18. Distance of the point P(x2, y2, z2) from the line (x-x1)/l=(y-y1)/m=(z...

    Text Solution

    |

  19. The equation of line equally inclined to coordinate axes and passing t...

    Text Solution

    |

  20. The lines (x-1)/(2)=(y+1)/(2)=(z-1)/(4) and (x-3)/(1)=(y-k)/(2)=(z)/(1...

    Text Solution

    |