Let x, y, u and v be row vectors in R' obeying: x = (2,-1,3), y=(-3,2, 2), and suppose that and uxv=(4,-2, 4). y w =-2, and ux v=(4, -2, 4). X•W = 7, y.w = Use this information to answer the following questions: a) Calculate (x x y) × 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 vectors u + 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: x = (2,-1,3), y=(-3,2, 2), and suppose that and uxv=(4,-2, 4). y w =-2, and ux v=(4, -2, 4). X•W = 7, y.w = Use this information to answer the following questions: a) Calculate (x x y) × 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 vectors u + kv and ku +v is 48 for some k ER. What are the possible values of k?

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 13CR

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