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Distance and midpoint in 3D
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Learn it Distance between (x₁, y₁, z₁) and (x₂, y₂, z₂) is √(Δx² + Δy² + Δz²). The midpoint averages each coordinate. The longest rod that fits in a box is its space diagonal.
Example: Longest pole that fits in a 3 m × 4 m × 12 m room?
- √(3² + 4² + 12²) = √169.
- = 13 m.
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