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d v. Is every vector in 2 a linear combination of u and v
Chapter 1, Problem 7E(choose chapter or problem)
QUESTION:
PROBLEM 7EUse the accompanying figure to write each vector listed in Exercises 7 and 8 as a linear combination of u and v. Is every vector in ?2 a linear combination of u and v? Vectors a, b, c, and d
Questions & Answers
QUESTION:
PROBLEM 7EUse the accompanying figure to write each vector listed in Exercises 7 and 8 as a linear combination of u and v. Is every vector in ?2 a linear combination of u and v? Vectors a, b, c, and d
ANSWER:Solution:-Step1Given thatVectors a, b, c, and d Step2To findIs every vector in 2 a linear combination of u and vStep3We haveVectors a, b, c, and dParallelogram Rule for additionIf u and v are represented as points in the plane, then u+