Question: Let u = (u1, u2, u3) and v = (v1, v2, v3). Determine which of the following inner products on p are}. For those that

Let u = (u1, u2, u3) and v = (v1, v2, v3). Determine which of the following inner products on p are}. For those that are not, list the axioms that do not hold.
(a) (u, v) = u21v21 + u22v22 + u23v23
(b) (u, v) = 2u1v1 + u2v2 + 4u3v3

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