Explanation Given information : ‖ v → ‖ denote the standard norm in ℝ n . Formula used : 〈 v → , v → 〉 = ‖ v → ‖ 2 Calculation: 〈 v → , w → 〉 = ‖ v → + w → ‖ 2 − ‖ v → ‖ 2 − ‖ w → ‖ 2 (Given) = ( v → + w → ) . ( v → + w → ) − ( v → ) . ( v → ) − ( w → ) . ( w → ) = v → . v → + v →

Linear Algebra with Applications (2-Download)

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ISBN: 9780321796974

Author: Otto Bretscher

Publisher: PEARSON

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Chapter 5.5, Problem 21E

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To find:Whether the formula 〈v→,w→〉=‖v→+w→‖2−‖v→‖2−‖w→‖2 define an inner product in ℝn .

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Chapter 5.5, Problem 20E

Chapter 5.5, Problem 22E

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Chapter 5 Solutions

Linear Algebra with Applications (2-Download)

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Whether the formula 〈 v → , w → 〉 = ‖ v → + w → ‖ 2 − ‖ v → ‖ 2 − ‖ w → ‖ 2 define an inner product in ℝ n .

Solution Summary: The author explains how the formula langlestackrelto 'v', -wrangle ='Vert's. The formula defines an inner product in

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To find:Whether the formula 〈v→,w→〉=‖v→+w→‖2−‖v→‖2−‖w→‖2 define an inner product in ℝn .

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Chapter 5 Solutions