Suppose (v. w), and (v, w)2 are two inner products on the same vector space V. For which or. R is the

Suppose (v. w), and (v, w)2 are two inner products on the same vector space V. For which or. α β ∈ R is the linear combination (v. w) = a(v, w), + β (v, w)2 a legitimate inner product? Hint: The case when a, β ≥ 0 is easy. However, some negative values are also permitted, and your task is to decide which.