(1) For each of the following false statements give a counter-example (i.e. an exampleset of vectors which demonstrate that the statement is false). You may, but do nothave to, reuse your example vectors.(a) If v and w are any two vectors then || 7 – w || = || 7 || – || ||-(b) If ở and w are any two non-parallel three dimensional vectors then there isonly one unit vector perpendicular to both 7 and w.(c) If ở and w are any two three dimensional vectors then x w + w x ở.

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(1) For each of the following false statements give a counter-example (i.e. an example set of vectors which demonstrate that the statement is false). You may, but do not have to, reuse your example vectors. (a) If 7 and w are any two vectors then || 7 – w|| = || 7|| – || 1||- %3D (b) If 7 and w are any two non-parallel three dimensional vectors then there is only one unit vector perpendicular to both 7 and w. (c) If 7 and w are any two three dimensional vectors then 7 x w + w × d.

(1) For each of the following false statements give a counter-example (i.e. an example set of vectors which demonstrate that the statement is false). You may, but do not have to, reuse your example vectors. (a) If 7 and w are any two vectors then || 7 – w|| = || 7|| – || 1||- %3D (b) If 7 and w are any two non-parallel three dimensional vectors then there is only one unit vector perpendicular to both 7 and w. (c) If 7 and w are any two three dimensional vectors then 7 x w + w × d.

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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