Let u = (u 1 , u 2 , u 3 ), v = (v 1 ,
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Let u = (u1, u2, u3), v = (v1, v2, v3), and w = (w1, w2, w3). Let c be a scalar. Prove the following vector properties.
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. a. Show that (u + v) • (u + v) = \u² + 2u.v + |v|². b. Show that (u + v) • (u + v) = ]u[² + |v|² if u is perpendicular to v. c. Show that (u + v) • (u − v) = ]u[² — |v|². -
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Related Book For
Calculus For Scientists And Engineers Early Transcendentals
ISBN: 9780321849212
1st Edition
Authors: William L Briggs, Bernard Gillett, Bill L Briggs, Lyle Cochran
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