37. Consider an inner product (•, -) defined on a vector space V. Let u, v, w E V and c E R. Which axiom below is NOT part of the definition of an inner product? (A) (cu, v) = c(u, v) %3D (B) (4, v) = (v, u) %3D (C) (u + v, w) = (u, w) + (v, w) (D) None of the options apply (E) (u, v) > 0 with equality iff u = v

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Chapter2: Second-order Linear Odes
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37. Consider an inner product (, ) defined on a vector space V. Let u, v, w E V and c E R.
Which axiom below is NOT part of the definition of an inner product?
(A) (cu, v) = c(u, v)
(B) (u, v) = (v, u)
(C) (u + v, w) = (u, w) + (v, w)
(D) None of the options apply
(E) (u, v) > 0 with equality iff u = v
Transcribed Image Text:37. Consider an inner product (, ) defined on a vector space V. Let u, v, w E V and c E R. Which axiom below is NOT part of the definition of an inner product? (A) (cu, v) = c(u, v) (B) (u, v) = (v, u) (C) (u + v, w) = (u, w) + (v, w) (D) None of the options apply (E) (u, v) > 0 with equality iff u = v
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