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 1.5P

An equilateral triangle lies in the xy plane with its centroid at the origin. One vertex lies on the positive y axis. (a) Find unit vectors that are directed from the origin to the three vertices. (b) Find unit vectors that are directed from the origin to the three sides, intersecting these at right angles.

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Q1: Three vectors extending from the origin are given as r = 7ax + 3ay - 2a: r: =-2ax + 7ay – 3az r3 = 2ay + 3az Find the angle between ri - rz and ri-rs
Find the unit vector n perpendicular in the right-hand sense to the two vectors A and B. What is the angle between A and B? A=-i+j+k, B=i-j+k
Three vectors A, B and C lie on the 3D RCS. The scalar product of A and B is equal to -2. The scalar product of B and C is equal to 3. The scalar product of C and A is equal to-2. Given that B = -a, + ay- 2a, andC = 2ay +a,- 2a, find: Match each item to a choice: The vector triple product A x Bx C A, if the scalar triple product A (B x C) is equal to -18. Choices: # 5ax + 10ay E 6ax : -5az # 2ay + 2a, # 2a,+ 3ay :: :::
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