Explanation Given: The expression is ‖ v + w ‖ 2 − ‖ v − w ‖ 2 = 4 v ⋅ w . Calculation: The expression is ‖ v + w ‖ 2 − ‖ v − w ‖ 2 = 4 v ⋅ w . First, find ‖ v + w ‖ 2 . ‖ v + w ‖ 2 = ( v + w ) ⋅ ( v + w ) = v ⋅ v + v ⋅ w + w ⋅ v + w ⋅ w = ‖ v ‖ 2 + 2 v ⋅ w + ‖ w ‖ 2 … (1) Now, find ‖ v − w ‖ 2 ...

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ISBN: 9781319055844

Author: FRANZOSA

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Chapter 13.3, Problem 91E

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Prove that ${‖ v + w ‖}^{2} - {‖ v - w ‖}^{2} = 4 v \cdot w$ .

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Chapter 13.3, Problem 90E

Chapter 13.3, Problem 92E

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EBK CALCULUS

Ch. 13.1 - Prob. 1PQ Ch. 13.1 - Prob. 2PQ Ch. 13.1 - Prob. 3PQ Ch. 13.1 - Prob. 4PQ Ch. 13.1 - Prob. 5PQ Ch. 13.1 - Prob. 6PQ Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E

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