Engineering Electromagnetics
Engineering Electromagnetics
9th Edition
ISBN: 9780078028151
Author: Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher: Mcgraw-hill Education,
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Chapter 1, Problem 1.24P

Two unit vectors, a1 and a2, lie in the xy plane and pass through the origin. They make angles ∅1 and ∅2, respectively, with the x axis (a) Express each vector in rectangular components; (b) take the dot product and verify the trigonometric identity, cos ( ϕ 1 ϕ 2 ) = cos ϕ 1 cos ϕ 2 + sin ϕ 1 sin ϕ 2 ; (c) take the cross product and verify the trigonometric identity sin ( ϕ 2 ϕ 1 ) = sin ϕ 2 cos ϕ 1 cos ϕ 2 sin ϕ 1 .

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