A vector makes an angle of π/4 with each of x - axis and y - axis. Find the angle made by it with the z - axis.

Question

Philoid · Accepted Answer

Given,

l = cosα

m = cosα

And, n = cosγ

Also,

l² + m² + n² = 1

⇒ 1 + cos²γ = 1

⇒ cos²γ = 0

⇒ cosγ = 0

⇒ γ = cos^-10

The angle made by the vector with the z - axis =