Question: Part 1: Let u, v, w E R, c E R be given. Then: (a) u . v = v . u (b) (utv) .

Part 1: Let u, v, w E R", c E R be given. Then: (a) u . v = v . u (b) (utv) . w = u . w +v . w (c) (cu) . v = u. (cv) = c(u . v) (d) u . u > 0, and u . u = 0 if and only if u = 0

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