Not sure how to solve this Let x, y, u and v be row vectors in R obeying:х%3D (2, -1,3), у%3D (-3, 2, 2),and suppose thatX W = 7,y w =-2,and uXv= (4, -2, 4).Use this information to answer the following questions:a) Calculate (x X y) × w.b) Find (x X v) u.c) Calculate (2u – 5v) × (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 e R. What are the possible values of k?

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Let x, y, u and v be row vectors in R' obeying: x = (2, -1, 3), y = (-3, 2, 2), and suppose that X •W = 7, y W = -2, and u X v = (4, –2, 4). Use this information to answer the following questions: a) Calculate (x xy) x w. b) Find (x X v) · 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?

Let x, y, u and v be row vectors in R' obeying: x = (2, -1, 3), y = (-3, 2, 2), and suppose that X •W = 7, y W = -2, and u X v = (4, –2, 4). Use this information to answer the following questions: a) Calculate (x xy) x w. b) Find (x X v) · 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?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.2: Direct Methods For Solving Linear Systems

Problem 51EQ

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