d v. Is every vector in 2 a linear combination of u and v

Chapter 1, Problem 7E

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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

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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+

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