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In a plane with the normal (x,y) coordinates, the usual distance formula is that the distance between (x1,y1) and (x2,y2) is √((x1-x2)2+(y1-y2)2). This can be extended to n dimensions by letting the distance between (a1,a2,a3,...,an) and (b1,b2,b3,...,bn) be √((a1-b1)2+(a2-b2)2+...+(an-bn)2)
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