Categories > 3-d > System of co-ordinates > If a line makes angles $\alpha ,\beta ,\gamma ,\delta $ with four diagonals of a cube, then the value of ${{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +$ ${{\sin }^{2}}\gamma +{{\sin }^{2}}\delta $ is

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Question: If a line makes angles $\alpha ,\beta ,\gamma ,\delta $ with four diagonals of a cube, then the value of ${{\sin }^{2}}\alpha +{{\sin }^{2}}\beta +$ ${{\sin }^{2}}\gamma +{{\sin }^{2}}\delta $ is


1) $\frac{4}{3}$
2) 1
3) $\frac{8}{3}$
4) $\frac{7}{3}$
Solution: Explanation: No Explanation
System of co-ordinates Direction cosines and direction ratios Projection

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