©2007 Oxford University Press. PowerPoint CD for Elements of Electromagnetics Fourth Edition

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Vector Algebra 4

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku5 Figure 1.1 (a) Unit vectors a x, a y, and a z, (b) components of A along a x, a y, and a z.

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku6 Figure 1.2 Vector addition C  A  B: (a) parallelogram rule, (b) head-to-tail rule.

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku7 Figure 1.3 Vector subtraction D  A  B: (a) parallelogram rule, (b) head-to-tail rule.

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku8 Figure 1.4 Illustration of position vector r P  3a x  4a y  5a z.

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku9 Figure 1.5 Distance vector r PQ.

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku10 Figure 1.6 For Example 1.3.

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku11 Figure 1.7 The cross product of A and B is a vector with magnitude equal to the area of the parallelogram and direction, as indicated.

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku12 Figure 1.8 Direction of A  B and a n using (a) the right-hand rule and (b) the right-handed-screw rule.

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku13 Figure 1.9 Cross product using cyclic permutation (a) Moving clockwise leads to positive results. (b) Moving counterclockwise leads to negative results.

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku14 Figure 1.10 Components of A along B: (a) scalar component A B, (b) vector component A B.

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku15 Figure 1.11 For Example 1.6.

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku16 Figure 1.12 For Example 1.7.

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku17 Figure 1.13 For Review Question 1.3.

Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku18 Figure 1.14 For Problem 1.20.