Let u, v, and w be nonzero vectors in 3-space with the same initial point, but such

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Let u, v, and w be nonzero vectors in 3-space with the same initial point, but such that no two of them are collinear. Show that
(a) u × (v × w) lies in the plane determined by v and w
(b) (u × v) × w lies in the plane determined by u and v

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Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

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Question Posted: Jun 17, 2016 08:02 AM

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Let u, v, and w be nonzero vectors in 3-space with the same initial point, but such

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a By Theorem 341 we know that the vector v w is perpendicular to both v and w Hence v w ...View the full answer

Elementary Linear Algebra with Applications

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