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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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kindly answer it just need correct option
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f23d78a-1e51-4e93-bbcb-0eddaf9fcbd3%2Fe4c15c7e-236a-4f04-90c5-ff12554e891d%2Fqdhdhxs_processed.png&w=3840&q=75)
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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