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The vertices of a cube are (0,0,0),(2,0,0),(0,2,0) , (0,0,2),(2,2,0),(2,0,2),(0,2,2),(2,2,2) respectively. What is the angle between one of the edges of the cube and the diagonal of the cube intersecting the edge of the cube?

Options

  1. A⁻¹(1 / 2)
  2. B⁻¹(1 / 3)
  3. C⁻¹(1 / 3 )
  4. D⁻¹(2 / 3 )

Correct answer

D. ⁻¹(2 / 3 )

Step-by-step solution

The correct answer is option (D).

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