EE2011 Lecture 1 - Review of Vector Calculus

# Prof joshua le wei li em research group prof 4 ee2011

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Unformatted text preview: (c). In (d), the vector B is subtracted from A. Prof Joshua Le-Wei Li, EM Research Group Prof 4 EE2011: Engineering Electromagnetics Electromagnetics Basic Vector Algebra • Position and Distance Vectors Position vectors are R2 and R1 which have to be determined by 3-D positions, while distance vector is R12 = R2 - R1 which can shift. Prof Joshua Le-Wei Li, EM Research Group Prof 5 EE2011: Engineering Electromagnetics Electromagnetics Basic Vector Algebra • Vector Multiplications – Scalar or Dot Product A B AB cos AB AB Ax Bx AB BA Ay B y Az Bz A A | A |2 A 2 A (B C) A B A C Prof Joshua Le-Wei Li, EM Research Group Prof 6 EE2011: Engineering Electromagnetics Electromagnetics Basic Vector Algebra • Vector Multiplications – Vector Product ˆ A B nAB sin AB BA AA0 A (B C ) ˆ y Ay ˆ z Az Bx AB ˆ x Ax By Bz AB AC Prof Joshua Le-Wei Li, EM Research Group Prof 7 EE2011: Engineering Electromagnetics Electromagnetics Basic Vector Algebra • Scalar and Vector Triple Products ABC BCA ABC Ax Bx Ay By Az Bz Cx Cy Cz A A BC BC Prof Joshua Le-Wei Li, EM Research Group Prof CAB BA C CA B AB C 8 EE2011: Engineering Electromagnetics Electromagnetics Orthogonal Coordinate Systems • Cartesian Coordinates Prof Joshua Le-Wei Li, EM Research Group Prof 9 EE2011: Engineering Electromagnetics Electromagnetics Orthogonal Coordinate Systems • Cylindrical Coordinate Prof Joshua Le-Wei Li, EM Research Group Prof 10 EE2011: Engineering Electromagnetics Electromagnetics Orthogonal Coordinate Systems • Spherical Coordinates Prof Joshua Le-Wei Li, EM Research Group Prof 11 EE2011: Engineering Electromagnetics Electromagnetics Orthogonal Coordinate...
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## This document was uploaded on 02/18/2014 for the course EE 2011 at National University of Singapore.

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