12 If a, x and y are three are given by b=x-(x along a and b respecti

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 21EQ
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12 If a. x and y are three non-zero and mutually non-parallel vectors, and the vectors b and e
are given by b=x-(x-â)â and c=y-(y â)â-(y.b)b, where â and b are unit vectors
along a and b respectively, show that a, b and c are mutually perpendicular.
Transcribed Image Text:12 If a. x and y are three non-zero and mutually non-parallel vectors, and the vectors b and e are given by b=x-(x-â)â and c=y-(y â)â-(y.b)b, where â and b are unit vectors along a and b respectively, show that a, b and c are mutually perpendicular.
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