Example B Let M=IR², and let x = (x₁, x₂), y = (y₁, y₂). Then d₂ = √√(x₁ - y₁)² + (x₂-Y₂1²1 is the Euclidean metre d₁ = 1x₁-y₁1 + 1x₂-y₂l is the Manhattan metu? and do= max {1x₁-x₁l, 1x₂-yel} is the max metric. All three are actually metrics,

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