The vector n = (a b c) makes angle: α1 with + x axis, α2 with + y axis, α3 with + z axis. Find α1, α2, α3.?
Actually this question also wants me to prove that cos²(α1) + cos²(α2) +cos²(α3) = 1.
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Actually this question also wants me to prove that cos²(α1) + cos²(α2) +cos²(α3) = 1.
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Too long to write is out.
It's simple really, you just need to break apart the vectors along the axis'. Then just using trigonometric equations, you simplify them, rewrite them and you eventually turn up to 1.