What is the angle between the diagonal of one of the faces of the cube and the diagonal of the cube intersecting the d

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Q 2349067813.     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?
NDA 2010 Paper 1
A

`cos^(-1) (1/sqrt(3))`

B

`cos^(-1) (2/sqrt(3))`

C

`cos^(-1) (sqrt(2/3))`

D

`cos^(-1) (sqrt(2)/3)`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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