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Problem 1. Let x, y, u and v be row vectors in R' obeying: (2, —1,3), у%3 (-3, 2, 2), X = and suppose that X• w = 7, y. w = -2, and u x v = (4, –2, 4). (d) Suppose that the area of the parallelogram with one vertex at the origin determined by the vectors u + kv and ku + v is 48 for some k E R. What are the possible values of k?

Problem 1. Let x, y, u and v be row vectors in R' obeying: (2, —1,3), у%3 (-3, 2, 2), X = and suppose that X• w = 7, y. w = -2, and u x v = (4, –2, 4). (d) Suppose that the area of the parallelogram with one vertex at the origin determined by the vectors u + kv and ku + v is 48 for some k E R. What are the possible values of k?

Advanced Engineering Mathematics
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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Problem 1. Let x, y, u and v be row vectors in R³ obeying: х%3D (2, —1,3), у%3D(-3,2, 2), and suppose that X• w = 7, y· w -2, and u x v = (4, –2,4). %3D (d) Suppose that the area of the parallelogram with one vertex at the origin determined by the vectors u + kv and ku + v is 48 for some k E R. What are the possible values of k?
Transcribed Image Text:Problem 1. Let x, y, u and v be row vectors in R³ obeying: х%3D (2, —1,3), у%3D(-3,2, 2), and suppose that X• w = 7, y· w -2, and u x v = (4, –2,4). %3D (d) Suppose that the area of the parallelogram with one vertex at the origin determined by the vectors u + kv and ku + v is 48 for some k E R. What are the possible values of k?
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