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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 : 101

Total: 120

What is the angle between any two diagonals of the cube?

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

Validate

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