If a line makes angles and with the coordinates axes

MATHEMATICS · Subjective · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

If a line makes angles α,β\alpha, \beta and γ\gamma with the coordinates axes, prove that sin⁡2α+sin⁡2β+sin⁡2γ=2\sin^2 \alpha + \sin^2 \beta + \sin^2 \gamma = 2 .

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