Please show clear and understand steps for my practices questions. Problem 1. Let x, y, u and v be row vectors in R3 obeying:х 3 у%3 (-3,2, 2),(2, –1,3),X =and suppose thatX. w = 7, y · w = -2, and u x v = (4, –2, 4).Use this information to answer the following questions:(а) Calculate (x x у) х w.(Ъ) Find (xxv) . u.(c) Calculate (2u – 5v) × (3u+ 2v).-(d) Suppose that the area of the parallelogram with one vertex at the origin determinedby the vectors u + kv and ku + v is 48 for some k E R. What are the possible valuesof k?

Answered: Image /qna-images/answer/33a7d5a9-a536-40ff-8e11-a4289cad3882.jpg

Problem 1. Let x, y, u and v be row vectors in R3 obeying: - (2, —1,3), у%3D = (-3, 2, 2), X = and suppose that X: w = 7, y· w = -2, and ихV3D (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).

Problem 1. Let x, y, u and v be row vectors in R3 obeying: - (2, —1,3), у%3D = (-3, 2, 2), X = and suppose that X: w = 7, y· w = -2, and ихV3D (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).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 2CM: Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check...

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Question

Please show clear and understand steps for my practices questions.

Problem 1. Let x, y, u and v be row vectors in R3 obeying:
х 3 у%3 (-3,2, 2),
(2, –1,3),
X =
and suppose that
X. w = 7, y · w = -2, and u x v = (4, –2, 4).
Use this information to answer the following questions:
(а) Calculate (x x у) х w.
(Ъ) Find (xxv) . u.
(c) Calculate (2u – 5v) × (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 E R. What are the possible values
of k?

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