If [\table 0 , 2 \\beta,\\gamma ; \\alpha, \\beta , -\\gamma; \\alpha ,-\\beta , \\gamma ] is orthogonal, then the values of \\alpha, \\beta and \\gamma will be

Correct Answer is : α=±1√2,β=±1√6,γ=±1√3

\\alpha=\\pm{1}/{\\sqrt{5}, \\beta=\\pm{1}/{\\sqrt{3}, \\gamma=\\pm {1}/{\\sqrt{2}

\\alpha=\pm{1}/{\\sqrt{6}, \\beta=\pm{1}/{\\sqrt{7}, \\gamma=\pm{1}/{\\sqrt{3}

\\alpha=\\pm {1}/{\\sqrt{3}, \\beta=\\pm {1}/{\\sqrt{3}, \\gamma=\\pm {1}/{\\sqrt{3}

\\alpha=\\pm {1}/{\\sqrt{2}, \\beta=\\pm {1}/{\\sqrt{6}, \\gamma=\\pm {1}/{\\sqrt{3}

CGPET 2017 Solved Paper

Section: Mathematics

Question : 123 of 150

Marks: +1, -0

If [

] is orthogonal, then the values of α,β and γ will be

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