For any two nonzero elements x and y in an inner product space X, define the angle y between x and y by for 0 curren Icirc cedil curren n Show that 1 1 curren cos Icirc cedil curren 1 2 x yen y if and only if 0 90 degrees The angle between two vectors is defined by (7) corresponds to the familiar n...

1 By the CauchySchwartz inequality x y x x for e ...

For any two nonzero elements x and y in an inner product space X, define the angle

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For any two nonzero elements x and y in an inner product space X, define the angle y between x and y by

for 0 ‰¤ Î¸ ‰¤ n. Show that
1. - 1 ‰¤ cos Î¸ ‰¤ 1
2. x Š¥ y if and only if 0 = 90 degrees
The angle between two vectors is defined by (7) corresponds to the familiar notion of angle in „œ2 and „œ3.

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Foundations of Mathematical Economics

ISBN: 978-0262531924

1st edition

Authors: Michael Carter

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Question Posted: May 02, 2016 11:48 AM

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For any two nonzero elements x and y in an inner product space X, define the angle

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x/y cos θ =

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Foundations of Mathematical Economics

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