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NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Three Dimensional Geometry

NDA 2010 · Mathematics · Three Dimensional Geometry

The vertices of a cube are (0,0,0),(2,0,0),(0,2,0) ,...

The vertices of a cube are (0,0,0),(2,0,0),(0,2,0)(0,0,0),(2,0,0),(0,2,0), (0,0,2),(2,2,0),(2,0,2),(0,2,2),(2,2,2)(0,0,2),(2,2,0),(2,0,2),(0,2,2),(2,2,2) respectively. What is 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?

Options

  1. Acos⁡−1(1/3)\cos ^{-1}(1 / \sqrt{3})
  2. Bcos⁡−1(2/3)\cos ^{-1}(2 / \sqrt{3})
  3. Ccos⁡−1(1/3)\cos ^{-1}(\sqrt{1 / 3})
  4. Dcos⁡−1(2/3)\cos ^{-1}(\sqrt{2 / 3})

Correct answer

D. cos⁡−1(2/3)\cos ^{-1}(\sqrt{2 / 3})

Step-by-step solution

The correct answer is option (D).
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