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For any vectors u, v and w, show that uxv=uxw does not always imply v = w. Prove that u v ≤ ulv, and state what condition would imply equality.

For any vectors u, v and w, show that uxv=uxw does not always imply v = w. Prove that u v ≤ ulv, and state what condition would imply equality.

Linear Algebra: A Modern Introduction
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
Problem 4EQ
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For any vectors u, v and w, show that u xv=ux W does not always imply v = w. Prove that |uv| ≤ u||v, and state what condition would imply equality.
Transcribed Image Text:For any vectors u, v and w, show that u xv=ux W does not always imply v = w. Prove that |uv| ≤ u||v, and state what condition would imply equality.
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