The Law of Cosines: Prove that the formula ||v - w||2 = ||v||2 + ||w||2 - 2

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The Law of Cosines: Prove that the formula
||v - w||2 = ||v||2 + ||w||2 - 2 ||v|| ||w|| cosθ, (3.21)
where θ is the angle between v and w, is valid in any inner product space.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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