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 1.20P
To determine
To prove:
The relation
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Question 18
Consider the vectors A =4ax+2kay+az and B = ax+4ay-8az what value of k the two vectors A and B will be orthogonal ?
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Two vectors are defined as A = a,+5a, +3a, and B = 3a,+2a,+ a,. Which of
the following vector is perpendicular to (A + B)
4ax +4ay
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4ay+4az
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Let us define vector v as v=[3; 4;5];
What are the sizes of vector v?
Find T=vv' by Matlab code and show the result.
What are the sizes of T?
Find K=v'v by Matlab code and show the result.
What are the sizes of K?
Apply the code L=v.*v and show the result.
What are the sizes of L?
Chapter 1 Solutions
Engineering Electromagnetics
Ch. 1 - If A represents a vector two units in length...Ch. 1 - Vector A extends from the origin to (1, 2, 3), and...Ch. 1 - 1.3 The vector from the origin to point A is given...Ch. 1 - A circle, centered at the origin with a radius of...Ch. 1 - An equilateral triangle lies in the xy plane with...Ch. 1 - Find the acute angle between the two vector...Ch. 1 - Given the field F=xax+yay. If F. G =2xy and FĂ— G...Ch. 1 - Prob. 1.8PCh. 1 - A field is given as G=[25/(x2+y2)](xax+yay). Find...Ch. 1 - Prob. 1.10P
Ch. 1 - Given the points M(0.1, -0.2, -0.1), N(-02, 0.1,...Ch. 1 - 1.21 Write an expression recrangu1ar components...Ch. 1 - Prob. 1.13PCh. 1 - Prob. 1.14PCh. 1 - Three vectors extending from the origin are given...Ch. 1 - Prob. 1.16PCh. 1 - Prob. 1.17PCh. 1 - Prob. 1.18PCh. 1 - Prob. 1.19PCh. 1 - Prob. 1.20PCh. 1 - Exercise in cylinder components ;(a) the vector...Ch. 1 - Prob. 1.22PCh. 1 - The surfaces p=3,p=5,=130o,z=3andz=4.5 define a...Ch. 1 - Two unit vectors, a1 and a2, lie in the xy plane...Ch. 1 - Prob. 1.25PCh. 1 - Prob. 1.26PCh. 1 - Prob. 1.27PCh. 1 - Prob. 1.28PCh. 1 - A vector field is expressed as F = Az az where A...Ch. 1 - Consider a problem analogous to the varying wind...
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- Draw the vector of V4, where = V1-V2 and also calculate the value of V4arrow_forwardThree 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 :: :::arrow_forwardDecompose the vector A = -2āx + 3āy+ 5āz on to vectors parallel and perpendicular to the vectór B = āx -- 2ãy – 2āz. %3Darrow_forward
- Q1) build a componet form of the vector h +sarrow_forwarda cross product of two perpendicular vectors A and B is Select one: a. A B b. |A||B| C. |AB| d. zero dows barrow_forwardConsider the vectors A =4ax+2kaytaz and B = ax+4ay-4az what value of k the two vectors A and B will be orthogonal ?arrow_forward
- Find the area of the triangle having vertices at P(1, 3, 2), Q(2, -1, 1), R(-1, 2, 3). Use dot or cross product method. Select your answer. V307 zV307 307 V307arrow_forwardIf r1 = 2a, – ay + az r2 = ax +3ay – 2az r3 = -2a + ay – 3a, and r4 = 30g + 2ay + 5az find scalars a, b and c such that "4 = ari + br2+ cr3 Match each item to a choice: C a Choices: : -2 : -3 E -1arrow_forwardQUESTION 8 Consider the complex number show below. Z4 = 42 – 90° Convert Z4 to rectangular form and specify its real part in the box below.arrow_forward
- Ing to another question will save this response. Quèstion 1 Consider the vectors A =4a,+2ka,ta, and B=a,+4ay 16a, what value of k the two vectors A and B will be orthogonal ? 3.5 O 1.5 O 05 L A Moving to another question will save this response. P W SHIBA O O Oarrow_forwardP1. 30. What is the area of the base of a parallelepiped if its two legs is defined by the two vector a and b if a = 2i + 2j + 2k and b = 7i - 6j - 5k. Select one: O a. 32.34 Ob. 3544 O c. 33.62 O d. 30.58 Clear my choicearrow_forwardPerform the following vector operationsarrow_forward
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