Home
Class 12
MATHS
Find the angle between any two diagonals...

Find the angle between any two diagonals of a cube.

A

`30^(@)`

B

`45^(@)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D

NA
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|16 Videos
  • TANGENTS AND NORMALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|25 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

Find the angel 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.

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

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

An ellipse is inscribed in a reactangle and the angle between the diagonals of the reactangle is tan^(-1)(2sqrt(2)) , then find the ecentricity of the ellipse

Construct a rectangle ABCD, when : One diagonal = 6.0cm and the acute angle between the diagonals = 45^(@) .

The angle between diagonal of a cube and diagonal of a face of the cube will be

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

Three metal cubes with edges 6cm , 8cm and 10cm respectively are melted together and formed in to a single cube. Find the diagonal of this cube.

If theta is the angle between any two vectors veca and vecb , then |veca.vecb|=|veca xx vecb| when theta is equal to

OBJECTIVE RD SHARMA ENGLISH-THREE DIMENSIONAL COORDINATE SYSTEM -Exercise
  1. If the x-coordinate of a point P on the join of Q(2,2,1)a n dR(5,1,-...

    Text Solution

    |

  2. The distance of the point P(a,b,c) from the x-axis is

    Text Solution

    |

  3. Ratio in which the xy-plane divides the join of (1, 2, 3) and (4, 2...

    Text Solution

    |

  4. If P (3,2,−4) , Q (5,4,−6) and R (9,8,−10)  are collinear, then  ...

    Text Solution

    |

  5. A (3,2,0) , B (5,3,2)C (-9,6,-3) are three points forming a triangle. ...

    Text Solution

    |

  6. A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find te ...

    Text Solution

    |

  7. If a line makes angles alpha,beta,gamma with the positive direction of...

    Text Solution

    |

  8. If P is a point in space such that OP=12 and vec(OP) is inclied at ang...

    Text Solution

    |

  9. A vector vec O P is inclined to O X at 45^0 and O Y at 60^0 . Find th...

    Text Solution

    |

  10. vector is equal inclined with the coordinate axes. If the tip ofvecr ...

    Text Solution

    |

  11. If vecr is a vector of magnitude 21 and has direction ratios 2, -3 an...

    Text Solution

    |

  12. The direction cosines of the lines bisecting the angle between the lin...

    Text Solution

    |

  13. Find the coordinates of the foot of the perpendicular drawn from po...

    Text Solution

    |

  14. The projections of a line segment on the coordinate axes are 12,4,3 re...

    Text Solution

    |

  15. If P(x,y,z) is a point on the line segment joining Q(2,2,4) and R(3,5,...

    Text Solution

    |

  16. If O is the origin, OP = 3, with direction ratios -1, 2 and -2, then f...

    Text Solution

    |

  17. A mirror and a source of light are situated at the origin O and at a p...

    Text Solution

    |

  18. Find the angle between any two diagonals of a cube.

    Text Solution

    |

  19. A line makes angles angle, beta, gamma and delta with the diagonals of...

    Text Solution

    |

  20. If P(0,1,2),\ Q(4,-2,1)a n d\ O(0,0,0) are three points then P O Q= ...

    Text Solution

    |