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) 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 ở and w are any two vectors then || 7 – w|| = || 7 || – || W||- (b) If 7 and w are any two non-parallel three dimensional vectors then there is only one unit vector perpendicular to both ở and w. (c) If ở and ww are any two three dimensional vectors then x w + x .

) 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 ở and w are any two vectors then || 7 – w|| = || 7 || – || W||- (b) If 7 and w are any two non-parallel three dimensional vectors then there is only one unit vector perpendicular to both ở and w. (c) If ở and ww are any two three dimensional vectors then x w + x .

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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(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 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 is only 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.
Transcribed Image Text:(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 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 is only 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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