Complete the proof of Theorem 6.2. Theorem 6.2. Let V be an inner product space over F. Then for all x, y ∈V and c ∈F, the following statements are true. (a) ||cx||= |c|.||x||. (b) ||x||= 0 if and only if x = 0 . In any case, ||x||≥0. (c) (Cauchy–Schwarz Inequality) |<x, y>| ≤<||x||·||y||. (d) (Triangle Inequality) ||x + y||≤|x||+ ||y||.

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