Answer is : B. 2
Given - A vector makes angle α, β and γ with the x-axis, y-axis and z-axis respectively.
To Find - (sin2α + sin2β + sin2γ)
Formula to be used - cos2α + cos2β + cos2γ = 1
Hence,
sin2α + sin2β + sin2γ
= (1 - cos2α) +(1 - cos2β) + (1 - cos2γ)
= 3 – (cos2α + cos2β + cos2γ)
= 3 -1
= 2