4. Use the 3-space standard basis vectors to find three nonzero vectors a, b, c satisfying axb = a x c, where a × b 0 and b c. (This proves that the cross product operation does not have cancellation across equations.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
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4. Use the 3-space standard basis vectors to find three nonzero vectors a, b, c satisfying axb =
a x c, where a x b0 and b c.
(This proves that the cross product operation does not have cancellation across equations.)
Transcribed Image Text:4. Use the 3-space standard basis vectors to find three nonzero vectors a, b, c satisfying axb = a x c, where a x b0 and b c. (This proves that the cross product operation does not have cancellation across equations.)
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