Question: (3) Vector spaces can be defined where the sets of scalars are different from R and C. For example, we could use Q as the

(3) Vector spaces can be defined where the sets of scalars are different from R and C. For example, we could use Q as the scalars, or Zo, the integers modulo a prime p. What would happen if we tried to define an inner product space for a vector space with scalars in Q or in Z,? Are there any problems with the inner product space conditions in either case

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