The electric field intensity $$\overrightarrow E $$ at a point P is given by $$10\hat i + 10\hat j + 10\hat k$$    where $$\hat i,\,\hat j$$  and $${\hat k}$$ are unit vectors in x, y and z directions respectively. If α, β, γ are respectively the angles the $$\overrightarrow E $$ vector makes with x, y and z axes respectively, they are given by which of the following?

A. α = β = γ = 30°

B. α = β = γ = 60°

C. $$\alpha = \beta = \gamma = {\cos ^{ - 1}}\frac{1}{{\sqrt 3 }}$$

D. $$\alpha = \beta = \gamma = {\cos ^{ - 1}}\frac{1}{3}$$

Answer: Option C