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A Moving to another question will save this response. Question 6 Which of the following statements is/are true? (i) If a vector w is orthogonal to a vector u, then any scalar multiple of wis orthogonal to u. (ii) If a vector wis orthogonal to a vector and the vector u is orthogonal to a vector v then wis orthogonal to v. (iii) A set S of nonzero vectors in an inner product space V is called orthogonal if some pairs of vectors in S are orthogonal OA. Only (i) and (ii) OB. Only (ii) OC. Only (1) O D. Only (iii) O E. All the statements.

A Moving to another question will save this response. Question 6 Which of the following statements is/are true? (i) If a vector w is orthogonal to a vector u, then any scalar multiple of wis orthogonal to u. (ii) If a vector wis orthogonal to a vector and the vector u is orthogonal to a vector v then wis orthogonal to v. (iii) A set S of nonzero vectors in an inner product space V is called orthogonal if some pairs of vectors in S are orthogonal OA. Only (i) and (ii) OB. Only (ii) OC. Only (1) O D. Only (iii) O E. All the statements.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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L A Moving to another question will save this response. Question 6 Which of the following statements is/are true? (i) If a vector w is orthogonal to a vector u, then any scalar multiple of w is orthogonal to u. (ii) If a vector w is orthogonal to a vector u and the vector u is orthogonal to a vector v then w is orthogonal to v. (iii) A set S of nonzero vectors in an inner product space V is called orthogonal if some pairs of vectors in S are orthogonal OA. Only (i) and (ii) B. Only (ii) OC. Only (1) OD. Only (iii) O E. All the statements.
Transcribed Image Text:L A Moving to another question will save this response. Question 6 Which of the following statements is/are true? (i) If a vector w is orthogonal to a vector u, then any scalar multiple of w is orthogonal to u. (ii) If a vector w is orthogonal to a vector u and the vector u is orthogonal to a vector v then w is orthogonal to v. (iii) A set S of nonzero vectors in an inner product space V is called orthogonal if some pairs of vectors in S are orthogonal OA. Only (i) and (ii) B. Only (ii) OC. Only (1) OD. Only (iii) O E. All the statements.
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