(1) Choose two vectors v1, v2 in R 2 and another vector b also in R 2 . Find scalars x, y in R such that xv1 + yv2 = b (if this is not possible, pick other v1, v2, b vectors). Illustrate the vector equation you just solved by graphing the vectors v1, v2, b in the x − y-plane, and be sure to illustrate how b is obtained by adding a scalar of one vector to the other. (2) Repeat part 1 with vectors v1, v2, b in R 3 that give a consistent system. (3) Why is part 2 more difficult than part 1? Explain clearly using complete sentences.
(1) Choose two vectors v1, v2 in R 2 and another vector b also in R 2 . Find scalars x, y in R such that xv1 + yv2 = b (if this is not possible, pick other v1, v2, b vectors). Illustrate the vector equation you just solved by graphing the vectors v1, v2, b in the x − y-plane, and be sure to illustrate how b is obtained by adding a scalar of one vector to the other. (2) Repeat part 1 with vectors v1, v2, b in R 3 that give a consistent system. (3) Why is part 2 more difficult than part 1? Explain clearly using complete sentences.
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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(1) Choose two vectors v1, v2 in R 2 and another vector b also in R 2 . Find scalars x, y in R such that xv1 + yv2 = b (if this is not possible, pick other v1, v2, b vectors). Illustrate the vector equation you just solved by graphing the vectors v1, v2, b in the x − y-plane, and be sure to illustrate how b is obtained by adding a scalar of one vector to the other. (2) Repeat part 1 with vectors v1, v2, b in R 3 that give a consistent system. (3) Why is part 2 more difficult than part 1? Explain clearly using complete sentences.
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