- #1
karkas
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Homework Statement
I seem to be stuck for an assignment that I have for one of my classes, in which we are asked to prove that cos^2(φ_1) +cos^2 (φ_2) + cos^2(φ_3) = 1 in a three dimensional cartesian system, where φ_1 ,φ_2, φ_3 are the angles that a random vector r (x,y,z) is to the x,y and z axxi respectively.
Homework Equations
Prove that cos^2(φ_1) +cos^2 (φ_2) + cos^2(φ_3) = 1.
The Attempt at a Solution
I have made various attempts at linking the angles together and forming some kind of equation but none of them lead to the solution. It just seems really random to me, maybe I'm wrong because it's so early in the morning...