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Advanced Engineering Mathematics

San Diego San Francisco New York BostonLondon Toronto Sydney TokyoAlan JeffreyUniversity of Newcastle-upon-TyneSponsoring EditorBarbara HollandProduction EditorJulie BolducPromotions ManagerStephanie StevensCover DesignMonty Lewis DesignText DesignThompson Steele Production ServicesFront Matter DesignPerspectivesCopyeditorKristin LandonCompositionTechBooksPrinterRR Donnelley & Sons, book is printed on acid-free paper. CopyrightC 2002 by HARCOURT/ACADEMIC PRESSAll rights part of this publication may be reproduced or transmitted in any form or by anymeans, electronic or mechanical, including photocopy, recording, or any informationstorage and retrieval system, without permission in writing from the for permission to make copies of any part of the work should be mailed to:Permissions Department, Harcourt, Inc., 6277 Sea Harbor Drive, Orlando, PressA Harcourt Science and Technology Company200 Wheeler Road, Burlington, Massachusetts 01803, PressA Harcourt Science and Technology Company525 B Street, Suite 1900, San Diego, California 92101-4495, PressHarcourt Place, 32 Jamestown Road, London NW1 7BY, of Congress Catalog Card Number: 00-108262 International Standard Book Number: 0-12-382592-XPRINTED IN THE UNITED STA

PART TWO VECTORS AND MATRICES 53 CHAPTER2 Vectors and Vector Spaces 55 2.1 Vectors, Geometry, and Algebra 56 2.2 The Dot Product (Scalar Product) 70 2.3 The Cross Product (Vector Product) 77 2.4 Linear Dependence and Independence of Vectors and Triple Products 82 2.5 n-Vectors and the Vector Space Rn 88 2.6 Linear Independence, Basis, and ...

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