Question: Let V be an vector product over the eld R. We consider some arbitrary inner product (--|). a) Show that (DIX) = 0 for all

Let V be an vector product over the eld R. We consider some arbitrary inner product (--|). a) Show that (DIX) = 0 for all x E V. (hint: I] = d} for any 0 6 R) b) Let w E V. Suppose that (w|x} = 0 for every x. Show that W = l]. (hint: if it's true for every 1:, it's true for x = w)

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