UPSC NDA I 2010 Mathematics Paper

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Directions (Qs. No. 101-103) : For these questions follow:
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.
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Question : 103 of 120
 
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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?
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