Let x, y, u and v be row vectors in R' obeying: х%3 (2, -1,3), у%3D(-3, 2, 2), and suppose that X •w = 7, y w = -2, and ux v = (4, –2, 4). Use this information to answer the following questions: a) Calculate (x X y) x w. b) Find (x x v) u. c) Calculate (2u - 5v) x (3u + 2v). d) Suppose that the area of the parallelogram with one vertex at the origin determined by the vectorsu+ kv and ku + v is 48 for some k ER.What are the possible values of k?
Let x, y, u and v be row vectors in R' obeying: х%3 (2, -1,3), у%3D(-3, 2, 2), and suppose that X •w = 7, y w = -2, and ux v = (4, –2, 4). Use this information to answer the following questions: a) Calculate (x X y) x w. b) Find (x x v) u. c) Calculate (2u - 5v) x (3u + 2v). d) Suppose that the area of the parallelogram with one vertex at the origin determined by the vectorsu+ kv and ku + v is 48 for some k ER.What are the possible values of k?
Chapter4: Systems Of Linear Equations
Section4.6: Solve Systems Of Equations Using Determinants
Problem 279E: Explain the steps for solving a system of equations using Cramer’s rule.
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Hi there, I am struggling to answer part d), I was wondering if you could help. I attached a picture of my answers to parts a), b) and c). Thank you!
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