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Inner product - Michigan State University

Inner product - Michigan State University

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between two vectors, de ned as the length of their di erence. De nition 3 (Distance) Let V, ( ; ) be a inner product space, and kkbe its associated norm. The distance between u and v 2V is given by dist(u;v) = ku vk: Example: The Euclidean distance between to points x and y 2IR3 is kx yk= p (x1 y1)2 + (x2 y2)2 + (x3 y3)2: Slide 8 ...

  Nition, De nition 3

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