Show that the vector î+ĵ+k̂ is equally inclined to the axes OX, OY and OZ. let a vector a⃗=a_1î+a...

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Show that the vector î+ĵ+k̂ is equally inclined to the axes OX, OY and OZ.
let a vector a⃗=a_1î+a_2ĵ+a_3k̂ makes angles α, β, γ with the x, y, z axes respectively then-
cosα=a_1/|a⃗|, cosβ=a_2/|a⃗|, cosγ=a_3/|a⃗|
Where, |a⃗|=√(a_1^2+a_2^2+a_3^2)
let a⃗=î+ĵ+k̂, |a⃗
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