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3: A given vector space V is equipped with a scalar product and has an orthonormal basis u = (u₁ U₂). A given vector v € V satisfies (v|u₁) = 3 and (v|u₂) = 7. Which of the following statements is true? ³ (²). B) The coordinate vector of u in the base u is (1/7). A) The coordinate vector of v in the base u is C) We have too little information to know with certainty what the coordinate vector of vin the base u is

3: A given vector space V is equipped with a scalar product and has an orthonormal basis u = (u₁ U₂). A given vector v € V satisfies (v|u₁) = 3 and (v|u₂) = 7. Which of the following statements is true? ³ (²). B) The coordinate vector of u in the base u is (1/7). A) The coordinate vector of v in the base u is C) We have too little information to know with certainty what the coordinate vector of vin the base u is

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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3: A given vector space V is equipped with a scalar product and has an orthonormal basis u = (u₁ U₂). A given vector v € V satisfies (v|u₁) = 3 and (v|u₂) = 7. Which of the following statements is true? ³ (²). B) The coordinate vector of u in the base u is (1/7). A) The coordinate vector of v in the base u is C) We have too little information to know with certainty what the coordinate vector of vin the base u is
Transcribed Image Text:3: A given vector space V is equipped with a scalar product and has an orthonormal basis u = (u₁ U₂). A given vector v € V satisfies (v|u₁) = 3 and (v|u₂) = 7. Which of the following statements is true? ³ (²). B) The coordinate vector of u in the base u is (1/7). A) The coordinate vector of v in the base u is C) We have too little information to know with certainty what the coordinate vector of vin the base u is
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