Home
Class 12
MATHS
Prove the angle between the diagonal of ...

Prove the angle between the diagonal of one of the faces of the cube and the diagonal of the cube intersecting the diagonal of the face of the cube is `cos^(-1)"sqrt(2/3)`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MBD PUBLICATION|Exercise QUESTION BANK|127 Videos
  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

Find the angles between the pair of lines whose slopes are , sqrt3 ,-1 .

Prove the following by vector method. Measure of the angle between two diagonals of a cube is cos^-1 (1/3)

A charge of 6muc is placed at the corner of a cube. Find the flux linked with each opposite face of the cube.

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the acute angle between the lines passing through (-3, -1, 0), (2...

    Text Solution

    |

  2. Prove the following by vector method. Measure of the angle between two...

    Text Solution

    |

  3. Prove the angle between the diagonal of one of the faces of the cube a...

    Text Solution

    |

  4. Find the angle which a double ordinate of length 2a subtends at its ve...

    Text Solution

    |

  5. Find the angle between the lines whose dcs. L, m, n are connected by t...

    Text Solution

    |

  6. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

    Text Solution

    |

  7. State Ture or False .Through any four points one and only one plane c...

    Text Solution

    |

  8. State True or False . The equation of xy-plane is x + y = 0.

    Text Solution

    |

  9. The plane ax + by + c = 0 is perpendicular to z-axis.

    Text Solution

    |

  10. The equation of the plane parallel to xz-plane and passing through (2,...

    Text Solution

    |

  11. State True or False .The planes 2x - y + z -1 = 0 and 6x - 3y + 3z = 1...

    Text Solution

    |

  12. State true or False .The planes 2x +4y -z + 1 = 0 and x - 2y - 6z + 3 ...

    Text Solution

    |

  13. The distance of a point from a plane is same as the distance of the po...

    Text Solution

    |

  14. The equation of a plane passing through (1, 1, 2) and parallel to x + ...

    Text Solution

    |

  15. The equation of plane perpendicular to z-axis and passing through (1, ...

    Text Solution

    |

  16. The distance between the parallel planes 2x - 3y + 6z +1 = 0 and 4x - ...

    Text Solution

    |

  17. The plane y-z+1=0 is

    Text Solution

    |

  18. A plane whose normal has direction ratios lt 3, -2, k gt is parallel t...

    Text Solution

    |

  19. Find the equation of planes passing throught the points (6,-1,1), (5,1...

    Text Solution

    |

  20. Find the equation of planes passing throught the points (2,1,3),(3,2,1...

    Text Solution

    |