Home
Class 12
MATHS
Prove that the measure of the angle betw...

Prove that the measure of the angle between two main diagonals of a cube is `cos^(-1)frac[1][3]`.

Text Solution

Verified by Experts

The correct Answer is:
`cos^(-1)((1)/(3))`
Promotional Banner

Topper's Solved these Questions

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos
  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos
  • CHSE ODISHA EXAMINATION PAPER 2019

    ARIHANT PUBLICATION|Exercise Group C (30 Marks) |13 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (4 MARK)|47 Videos

Similar Questions

Explore conceptually related problems

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

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)

If veca makes equal angles with hati, hatj and hatk and has magnitude 3, prove that the angle between veca and each of hati, hatj and hatk is cos^(-)(1/sqrt3) .

ARIHANT PUBLICATION-CHSE ODISHA EXAMINATION PAPER 2020 -GROUP B (ANSWER ANY THREE QUESTIONS)
  1. Four cards are drawn successively with replacement from a well shuffle...

    Text Solution

    |

  2. Find the inverse of the matrix [{:(4,-2),(3,1):}]

    Text Solution

    |

  3. There are two families A and B. There are 4 men, 6 women and 2 childre...

    Text Solution

    |

  4. Eliminate x,y,z from a=x/y-z, b=y/z-x, c=z/x-y

    Text Solution

    |

  5. There are 25 girls and 15 boys in class XI and 30 boys and 20 girls in...

    Text Solution

    |

  6. Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...

    Text Solution

    |

  7. Examine the continuity of the following function at x = 0 :f(x)={(2x+1...

    Text Solution

    |

  8. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

    Text Solution

    |

  9. What is the derivative of sec^(-1)(1/(2x^2-1)),with respect to(sqrt(1...

    Text Solution

    |

  10. Find the approximate value of sqrt(48.96)

    Text Solution

    |

  11. Solve : In((dy)/(dx)) = 3x+4y given that y=0, when x=0.

    Text Solution

    |

  12. Evaluate the following integrals int(3sinx+28cosx)/(5sinx+6cosx)dx

    Text Solution

    |

  13. Evaluate the following integrals : int(0)^(pi//2)log|(4+3sinx)/(4+3c...

    Text Solution

    |

  14. The area between x=y^(2) and x=4 is divided into two equal parts by th...

    Text Solution

    |

  15. Solve: xdy/dx+y=y^2ln x

    Text Solution

    |

  16. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  17. Prove that the four points with position vectors 2veca+3vecb-vecc, vec...

    Text Solution

    |

  18. If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...

    Text Solution

    |

  19. Passing throughthe point (2,-3,1) and (-1,1-7) and perpendicular to th...

    Text Solution

    |

  20. Find the perpendicular distance of the point (-1,3,9) from the line (x...

    Text Solution

    |