Introduction to Electrodynamics 4e

Published by Pearson Education
ISBN 10: 9332550441
ISBN 13: 978-9-33255-044-5

Chapter 1 - Section 1.2 - Vector Algebra - Problem - Page 7: 4

Answer

unit vector n = $\frac{1}{7}$(6x+3y+2z) where x,y,z are the unit vectors in the Cartesian coordinate.
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Work Step by Step

The method to find a unit vector perpendicular to a surface is divide the cross product of two sides of the surface (a and b in the diagram) with the modulus of the cross product (this is for normalizing the vector, so that its magnitude is one, i.e. a unit vector).
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