Vectors are Awesome!!

Geometry Level 4

A line makes angles \(\alpha,\beta, \gamma, \delta\) with the four diagonals of a cube, then find the value of \(\cos ^{ 2 }{ \alpha } +\cos ^{ 2 }{ \beta } +\cos ^{ 2 }{ \gamma } +\cos ^{ 2 }{ \delta } \).

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