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Co - ordinate Geometry 3D Geometry

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If a line makes the angle α, β, γ with the axes, the value of sin²α + sin²β + sin²γ is equal to

A. 1

B. 2

C. 5/4

D. 3/2

E. None of the above

View Answer

Correct choice: B

Explanation:

cos²α + cos²β + cos²γ = 1 (sum of d.c.)
∴ (1 - sin²α) + (1 - sin²β) + (1 - sin²γ) = 1
Or sin²α + sin²β + sin²γ = 2

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Eamcet Mathematics Co - ordinate Geometry 3D Geometry

Eamcet Mathematics
Co - ordinate Geometry 3D Geometry