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Home » Substitute into $ f(\theta) $: - 500apps

Substitute into $ f(\theta) $: - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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\text{Distance between } (0,0,0) \text{ and } (1,1,0): \sqrt{(1)^2 + (...
\text{Distance between } (0,0,0) \text{ and } (1,0,1): \sqrt{(1)^2 + 0...
\text{Distance between } (1,1,0) \text{ and } (1,0,1): \sqrt{0 + (1)^2...
So all edges are of length $\sqrt{2}$.
Let’s find $(x, y, z)$ such that its distance to each of the three poi...
Distance from $(0,0,0)$:
x^2 + y^2 + z^2 = 2
Distance from $(1,1,0)$:
\Rightarrow x^2 - 2x + 1 + y^2 - 2y + 1 + z^2 = 2
\Rightarrow (x^2 + y^2 + z^2) - 2x - 2y + 2 = 2

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