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एक रेखा घन के चार विकर्णों के साथ alpha,...

एक रेखा घन के चार विकर्णों के साथ `alpha, beta, gamma, delta` कोण बनाती है तो सिद्ध कीजिए की
`cos^(2)alpha+cos^(2)beta+cos^(2)gamma+cos^(2)delta=(4)/(3)`

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A line makes angles alpha,beta,gamma and with the diagonals of a cube,prove that cos^(2)alpha+cos^(2)beta+cos^(2)gamma+cos^(2)delta=(4)/(3)

A line makes angles alpha,beta,gamma and delta with the diagonals of a cube.Show that cos^(2)alpha+cos^(2)beta+cos^(2)gamma+cos^(2)delta=4/3