If a line makes the angle $α, β, γ$ with three dimensional co-ordinate axes respectively, then $c o s 2 α + c o s 2 β + c o s 2 γ$

-2

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-1

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Solution

The correct option is B -1
$c o s 2 α + c o s 2 β + c o s 2 γ = 2 c o s^{2} α - 1 + 2 {cos}^{2} β - 1 + 2 c o s^{2} γ - 1 = 2 (c o s^{2} α + c o s^{2} β + c o s^{2} γ) - 3 = 2 - 3 = - 1$

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