Prove the stated property of distance between vectors. a. d(u, v) = d(v, u) for all vectors

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Prove the stated property of distance between vectors.
a. d(u, v) = d(v, u) for all vectors u and v
b. d(u, w) ≤ d(u, v) + d(v, w) for all vectors u, v, and w
c. d(u, v) = 0 if and only if u = v
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