ولله المشرق والمغرب فأينما تولوا فثم وجه الله ان الله واسع عليم » البقرة 115 صدق الله العظيم »

Slides:



Advertisements
Similar presentations
Polaris Coordinates of a Vector How can we represent a vector? -We plot an arrow: the length proportional to magnitude of vector the line represents the.
Advertisements

Q1.1 What are the x– and y–components of the vector E?
What are the x- and y-components of the vector
General Physics (PHYS101)
CE Statics Lecture 6.
EE2030: Electromagnetics (I)
EKT 241 ELECTROMAGNETIC THEORY Revised By: Dr. Naser Mahmoud Ahmed.
For any two vectors A and B, which of the following equations is false. A) A – A = 0 B) A – B = A + B C) A + B = B + A D) A/a = 1/a (A), where ‘a’ is a.
Lecture 13 Today Basic Laws of Vector Algebra Scalars: e.g. 2 gallons, $1,000, 35ºC Vectors: e.g. velocity: 35mph heading south 3N force toward.
Lecture 1eee3401 Chapter 2. Vector Analysis 2-2, 2-3, Vector Algebra (pp ) Scalar: has only magnitude (time, mass, distance) A,B Vector: has both.
Vectors. We will start with a basic review of vectors.
Vectors: 5 Minute Review Vectors can be added or subtracted. ◦ To add vectors graphically, draw one after the other, tip to tail. ◦ To add vectors algebraically,
Vectors: 5 Minute Review Vectors can be added or subtracted. ◦ To add vectors graphically, draw one after the other, tip to tail. ◦ To add vectors algebraically,
1-1 Engineering Electromagnetics Chapter 1: Vector Analysis.
Vectors and the Geometry of Space
1 Physics 111/121 Mini-Review Notes on Vectors. 2 Right hand rule: - curl fingers from x to y - thumb points along +z.
Physics 201 2: Vectors Coordinate systems Vectors and scalars Rules of combination for vectors Unit vectors Components and coordinates Displacement and.
Vectors. Vectors and Direction Vectors are quantities that have a size and a direction. Vectors are quantities that have a size and a direction. A quantity.
Chapter 1 - Vector Analysis. Scalars and Vectors Scalar Fields (temperature) Vector Fields (gravitational, magnetic) Vector Algebra.
VECTOR CALCULUS. Vector Multiplication b sin   A = a  b Area of the parallelogram formed by a and b.
Vectors and Vector Multiplication. Vector quantities are those that have magnitude and direction, such as: Displacement,  x or Velocity, Acceleration,
Chapter 6 Additional Topics: Triangles and Vectors 6.1 Law of Sines 6.2 Law of Cosines 6.3 Areas of Triangles 6.4 Vectors 6.5 The Dot Product.
Review: Analysis vector. VECTOR ANALYSIS 1.1SCALARS AND VECTORS 1.2VECTOR COMPONENTS AND UNIT VECTOR 1.3VECTOR ALGEBRA 1.4POSITION AND DISTANCE VECTOR.
1 Chapter Objectives Parallelogram Law Cartesian vector form Dot product.
Jump to first page 1 Mechanics AP200 Dr. C. W. Ong Meriam, J.L., Kraige, L.G., “Engineering Mechanics, Dynamics”, John Wiley Course Work 30% (Exercises.
Main Menu Salas, Hille, Etgen Calculus: One and Several Variables Copyright 2003 © John Wiley & Sons, Inc. All rights reserved. Chapter 12: Vectors Cartesian.
Textbook and Syllabus Textbook: Syllabus:
VECTORS (Ch. 12) Vectors in the plane Definition: A vector v in the Cartesian plane is an ordered pair of real numbers:  a,b . We write v =  a,b  and.
Sec 13.3The Dot Product Definition: The dot product is sometimes called the scalar product or the inner product of two vectors.
Analytic Geometry o f Space 3D Space (right-handed coordinate system) Introduction to Vectors –Let –We may to know the displacement from P to Q From P.
Meeting 23 Vectors. Vectors in 2-Space, 3-Space, and n- Space We will denote vectors in boldface type such as a, b, v, w, and x, and we will denote scalars.
Vectors in Two Dimensions. VECTOR REPRESENTATION A vector represents those physical quantities such as velocity that have both a magnitude and a direction.
EGR 115 Introduction to Computing for Engineers MATLAB Basics 5: Applications – Vector Math Friday 12 Sept 2014 EGR 115 Introduction to Computing for Engineers.
Electricity and Magnetism INEL 4151 Sandra Cruz-Pol, Ph. D. ECE UPRM Mayagüez, PR.
Mod-2 Vector Arithmetic For 2 binary n-vectors a and b –All components of a and b are elements of {0,1} –The mod-2 sum, c = a+b is term-by-term mod-2 sum.
Vectors scalar quantities magnitude mass temperature electric potential.
1 Coordinate Systems and Transformation. Copyright © 2007 Oxford University Press Elements of Electromagnetics Fourth Edition Sadiku2 Figure 2.1 Point.
X = 2 + t y = t t = x – 2 t = (y + 3)/2 x – 2 = y x – 4 = y + 3 y – 2x + 7 = 0 Finding the Cartesian Equation from a vector equation x = 2.
PHY 093 – Lecture 1b Scalars & Vectors Scalars & vectors  Scalars – quantities with only magnitudes Eg. Mass, time, temperature Eg. Mass, time,
President UniversityErwin SitompulEEM 1/1 Dr.-Ing. Erwin Sitompul President University Lecture 1 Engineering Electromagnetics
Dot Product Calculating Angle. What is to be learned? How to use dot product to calculate the angle between vectors.
ME 201 Engineering Mechanics: Statics Chapter 2 – Part E 2.9 Dot Product.
Warm up: Draw a vector on the Cartesian coordinate plane, and describe this vector in words.
6.4 Vectors and Dot Products Objectives: Students will find the dot product of two vectors and use properties of the dot product. Students will find angles.
Vectors 1] Vector A is 3.00 units in length and points along the positive x axis. Vector B is 4.00 units in length and points along the negative y axis.
Vectors Quantities with direction. Vectors and Scalars Vector: quantity needing a direction to fully specify (direction + magnitude) Scalar: directionless.
The Cross Product. We have two ways to multiply two vectors. One way is the scalar or dot product. The other way is called the vector product or cross.
ME 201 Engineering Mechanics: Statics Chapter 4 – Part A 4.1 Moment of a Force - Scalar 4.2 Cross Product 4.3 Moment of a Force – Vector 4.4 Principle.
University of Utah Introduction to Electromagnetics Lecture 14: Vectors and Coordinate Systems Dr. Cynthia Furse University of Utah Department of Electrical.
ECE 305 Electromagnetic Theory
Warm up 1.) (3, 2, -4), (-1, 0, -7) Find the vector in standard position and find the magnitude of the vector.
SCALAR QUANTITIES AND VECTOR QUANTITIES
Textbook and Syllabus Textbook: Syllabus:
ES2501: Statics/Unit 4-1: Decomposition of a Force
Chapter 3 Overview.
Edward C. Jordan Memorial Offering of the First Course under the Indo-US Inter-University Collaborative Initiative in Higher Education and Research: Electromagnetics.
Outline Addition and subtraction of vectors Vector decomposition
Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni.
Lecture 3 0f 8 Topic 5: VECTORS 5.3 Scalar Product.
Quran Quotes and Muhammad sayings
Law of sines Law of cosines Page 326, Textbook section 6.1
Physics Vectors Javid.
Vector Calculus – Part 1 By Dr. Samer Awad
Physics 111 Practice Problem Solutions 01 Units, Measurement, Vectors SJ 8th Ed.: Ch , 3.1 – 3.4 Contents: 1-7, 1-9, 1-10, 1-12, 1-15, 1-21* 3-5,
Thanks for straightening that up!!
Reference W.H. Hayt and J.A. Buck , Engineering Electromagnetics, McGraw-Hill, 8th Ed., J. Edminister, Schaum's Outline of Electromagnetics, McGraw-Hill,
Enumerations, Clamping, Vectors
Lecture 16 Gradient in Cartesian Coordinates
Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni.
LECTURE #1 VECTOR ANALYSIS.
Presentation transcript:

ولله المشرق والمغرب فأينما تولوا فثم وجه الله ان الله واسع عليم » البقرة 115 صدق الله العظيم »

 Scalars and vectors.  Vector algebra.  The Cartesian coordinate system.  Vector components and unit vectors.  The dot product.  The cross product.

طرق جمع المتجهات 1. طريقة متوازي المستطيلات A B

2. طريقة المثلث B A

(A.B) = ⃒ A ⃒⃒ B ⃒ Cos(θ AB ) θ BA A B A.B

a N AB= ⃒ A ⃒⃒ B ⃒ Sin (θ AB )

(A.B) = ⃒ A ⃒⃒ B ⃒ Cos(θ AB ) a N (AB)= ⃒ A ⃒⃒ B ⃒ Sin (θ AB ) ماذا تستنتج من المعادلات التالية ؟

1.George B. Thomas, Jr. ‟ Thomas’calculus”, Twelfth Edition, William H. Hayt, Jr & John A. Buck, ‟ Engineering Electromagnetics”, Sixth Edition The McGraw Companies, 2001.