1.

If the edges of a rectangular parallelepiped are a,b, c, prove that the angles between the four diagonals are given by `cos^(-1)"((pma^(2)pmb^(2)pmc^(2))/(a^(2)+b^(2)+c^(2)))`.A. `cos^(-1)((apm b pm c)/(a+b+c))`B. `(1)/(2)cos^(-1)((a pm b pm c)/(a+b+c))`C. `cos^(-1)((a^(2)pm b^(2)pm c^(2))/(a^(2)+b^(2)+c^(2)))`D. `(1)/(2) cos^(-1) ((a^(2)pm b^(2)pm c^(2))/(a^(2)+b^(2)+c^(2)))`

Answer» Correct Answer - C


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