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UPSC NDA I 2010 Mathematics Paper

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.

Question : 103

Total: 120

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?

cos−1(1∕√3)
cos−1(2∕√3)
cos−1(√1∕3)
cos−1(√2∕3)

Validate

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