Question

If vector r forms an angle α, β, γ with x, y, z-axis then sin²α + sin²β + sin²γ = ____

(A) 1

(B) 2

(C) – 1

(D) – 2

Answer 1

The correct option (B) 2

Explanation:

We know cos²α + cos²β + cos²γ = 1

⇒ 1 – sin²α + 1 – sin²β + 1 – sin²γ = 1

∴ sin²α + sin²β + sin²γ = 2