Let V be a real inner product space. Which of the following statements is true? (i) O is the only vector in V that is orthogonal to itself. (11 u +w < u+w if and only if one of u and w is a non negative scalar multiple of the other. (m) Ku, w= uw if and only if one of u and w is a scalar multiple of the other. OC. only (ii) OE. All the statements. O A. only (i) O B. only (ii) O D. only (i) and (iii)

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Chapter2: Second-order Linear Odes
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Question 23
Let V be a real inner product space. Which of the following statements is true?
(i) O is the only vector in V that is orthogonal to itself.
(1) u +w < u+w if and only if one of u and w is a non negative scalar multiple of the other.
(11)Ku, w =u|wif and only if one of u and w is a scalar multiple of the other.
(ii)
OC. only (iii)
O E. All the statements.
O A. only (i)
OB. only (ii)
OD. only (i) and (ii)
Transcribed Image Text:Question 23 Let V be a real inner product space. Which of the following statements is true? (i) O is the only vector in V that is orthogonal to itself. (1) u +w < u+w if and only if one of u and w is a non negative scalar multiple of the other. (11)Ku, w =u|wif and only if one of u and w is a scalar multiple of the other. (ii) OC. only (iii) O E. All the statements. O A. only (i) OB. only (ii) OD. only (i) and (ii)
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