Home
Class 12
MATHS
Find the angel between any two diagon...

Find the angel between any two diagonals of a cube.

A

`cos^(-1)(1//2)`

B

`cos^(-1)(1//3)`

C

`cos^(-1)(1//sqrt3)`

D

`cos^(-1)(sqrt2//3)`

Text Solution

Verified by Experts

The correct Answer is:
B

Required angle `=cos^(-1)(1/3)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NDA PREVIOUS YEARS|Exercise Example|115 Videos

Similar Questions

Explore conceptually related problems

Find the angle between any two diagonals of a cube.

(i) Find the angle bewteen the lines whose direction ratios are 1, 2, 3 and - 3 , 2 , 1 (ii) Find the angle between two diagonals of a cube.

The vertices of a cube are (0,0,0),(2,0,0),(0,0,2),(0,2,0),(2,0,2),(0,2,2),(2,2,0),(2,2,2) respectively What is the angle between any two diagonals of the cube?

Show that the angle between any two diagonals of a cube is cos^(-1)((1)/(3)) .

NDA PREVIOUS YEARS-3-D GEOMETRY-MCQ
  1. Under what condition do the planes bx-ay=n,cy-bz=l,az-cx=m intersect ...

    Text Solution

    |

  2. The planes px+2y+2z-3=0 and 2x-y+z+2=0 intersect at an angle pi/4. Wha...

    Text Solution

    |

  3. Find the angel between any two diagonals of a cube.

    Text Solution

    |

  4. The angle between diagonal of a cube and diagonal of a face of the c...

    Text Solution

    |

  5. What is the angle between the diagonal of one of the faces of the cube...

    Text Solution

    |

  6. What is the equation of the plane through z-axis and parallel to the l...

    Text Solution

    |

  7. If the line through the points A (k,1,-1) and B(2k,0,2) is perpendicul...

    Text Solution

    |

  8. The two planes ax+by+cz+d=0 and ax+by+cz+d=0 where d ne d1, have

    Text Solution

    |

  9. What is the distance of the origin from the plane x+6y-3z+7=0?

    Text Solution

    |

  10. The acute angle between the planes 2x-y+z=6 and x+y=2z=3 is

    Text Solution

    |

  11. What is the radius of the sphere x^2+y^2+z^2-x-y-z=0?

    Text Solution

    |

  12. Consider the following relations among the angles alpha,beta and gamma...

    Text Solution

    |

  13. Which one of the following points lies on the plane 2x+3y-6z=21?

    Text Solution

    |

  14. What is the angle between the lines whose direction cosines are propor...

    Text Solution

    |

  15. What is the locus of points of intersection of a sphere and a plane ?

    Text Solution

    |

  16. What is the angle between two planes 2x-y+z=4 and x+y+2z=6?

    Text Solution

    |

  17. What is the equation of the plane passing through point (1,-1,-1) and ...

    Text Solution

    |

  18. The equation to sphere passing throrugh origin and the points (-1,0,0)...

    Text Solution

    |

  19. If a line makes the angles alpha,beta,gamma with the axes, then what i...

    Text Solution

    |

  20. What are the direction ratios of normal to the plane 2x-y+2z+1=0?

    Text Solution

    |