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Contents
Table of contents
  • 1Introduction
  • 2Mathematical Background
    • 2.1Vectors and Vector Algebra
        • 2.1.1 Scalars, vectors and fields
        • 2.1.2 Components, magnitude and unit vector
        • 2.1.3 Adding, subtracting and scaling vectors
        • 2.1.4 The dot (scalar) product
        • 2.1.5 The cross (vector) product
        • 2.1.6 Triple products
        • 2.1.7 Worked examples on vector algebra
        • 2.1.8 Recap
        • Example 2.1.1 Magnitude and unit vector
        • Example 2.1.2 Dot and cross products
    • 2.2Nabla: Grad, Div, Curl, Laplacian
    • 2.3Coordinate Systems
    • 2.4The Integral Theorems
  • 3Electrostatics
    • 3.1Coulomb's Law and the Electric Field
    • 3.2Gauss's Law
    • 3.3Electrostatic Potential
    • 3.4Fields in Material Media
  • 4Magnetostatics
    • 4.1Lorentz Force and Biot–Savart's Law
    • 4.2Magnetic Media and Inductance
    • 4.3Magnetic Circuits
  • 5Maxwell's Equations
    • 5.1From Statics to Electrodynamics
    • 5.2The Displacement Current
    • 5.3Faraday's Law of Induction
    • 5.4The Continuity Equation
    • 5.5The Wave EquationSOON
    • 5.6Time-Harmonic WavesSOON
  • 6Plane Electromagnetic Waves
    • 6.1Plane Waves in Free SpaceSOON
    • 6.2Propagation in Different MediaSOON
    • 6.3Normal IncidenceSOON
    • 6.4Oblique IncidenceSOON
  • 7Waveguides and Cavities
    • 7.1Fields in WaveguidesSOON
    • 7.2Parallel-Plate WaveguidesSOON
    • 7.3Rectangular WaveguidesSOON
    • 7.4Circular WaveguidesSOON
    • 7.5Coaxial WaveguidesSOON
    • 7.6Dielectric WaveguidesSOON
    • 7.7Microstrip LinesSOON
    • 7.8Cavity ResonatorsSOON
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Contents/2. Mathematical Background/2.1 Vectors and Vector Algebra

Section 2.1 · Topic 7 of 8

2.1.7 Worked examples on vector algebra

Example 2.1.1Magnitude and unit vectorOpen → Example 2.1.2Dot and cross productsOpen →

In this part

Start with Example 2.1.1 →

Examples · 2

  • Example 2.1.1Magnitude and unit vector
  • Example 2.1.2Dot and cross products
← Previous · 2.1.6Triple productsNext · Example 2.1.1 →Magnitude and unit vector

← Back to Section 2.1 contents

Electromagnetic Fields and Waves · Prof. Gökhan Çınar© 2026 Gökhan Çınar. All rights reserved. Copyright