Chapter 10 Links

Section 10.1

Learn more about VECTORS

• SparkNotes: Introduction to Vectors
• SparkNotes: Terms

Learn more about the HISTORY OF THE VECTOR CONCEPT

Section 10.2

Learn more about PROPERTIES OF VECTORS

• NCTM: Components of a Vector ? JAVA
• NCTM: Sums of Vectors and Their Properties ? JAVA
• Vectors in a Plane
• An Introductory Unit with The Geometer?s Sketchpad^TM

Learn more about VECTOR ADDITION

• SparkNotes: Introduction to Vector Addition
• SparkNotes: Terms
• SparkNotes: The Component Method for Vector Addition and Scalar Multiplication
• SparkNotes: Sample Problems for the Component Method
• SparkNotes: The Graphical Method for Vector Addition and Scalar Multiplication
• SparkNotes: Sample Problems for the Graphical Method

Learn more about VECTOR MULTIPLICATION

• SparkNotes: Introduction to Vector Multiplication
• SparkNotes: Terms
• SparkNotes: The Dot Product
• SparkNotes: Sample Problems for the Dot Product
• SparkNotes: The Cross Product
• SparkNotes: Sample Problems for the Cross Product

Learn more about MOTION IN TWO DIMENSIONS

• Scalars and Vectors
• Displacement
• Average Velocity
• Instantaneous Velocity
• Average Acceleration
• Instantaneous Acceleration
• Projectile Motion
• Procedure for Solving Projectile Motion Problems
• Worked Problems

Section 10.3

Learn more about VECTORS IN SPACE

• Vectors in Space

Learn more about ALBERT EINSTEIN

• MacTutor History of Mathematics
• PBS: Nova Online
• World of Biography
• Einstein Archives Online
• Image and Impact

Learn more about HERMANN MINKOWSKI

• MacTutor History of Mathematics
• World of Biography

Learn more about HENDRIK ANTOON LORENTZ

• MacTutor History of Mathematics
• World of Biography

Learn more about the HISTORY OF THE THEORY OF RELATIVITY

Learn more about MINKOWSKI PHYSLET

• Lorentz Transformation ? JAVA
• Coordinate Rotation ? JAVA
• Galilean Transformation ? JAVA

Section 10.4

Learn more about the DOT PRODUCT OR SCALAR PRODUCT

• Definition of a Dot Product
• Scalar Product of Vectors ? JAVA

Section 10.5

Learn more about PLANES IN SPACE

• Planes in 3-Space ? JAVA
• Relative Positions of Three Planes in Space
• Planes in Space ? JAVA
• The Vector Equation of a Plane
• The Cartesian Equation of a Plane

Section 10.6

Learn more about the VECTOR OR CROSS PRODUCT

• The Cross Product
• Vector Product of Vectors ? JAVA

Learn more about the SCALAR TRIPLE PRODUCT

• Determinant Definition

Learn more aboutaNORMAL VECTOR

Learn more about EQUATIONS OF PLANES

• Finding a Plane through a Point with a Given Normal Vector
• Finding a Plane through a Point Parallel to a Plane
• Finding a Plane through Three Points
• Finding a Plane through a Point and Containing a Given Line

Learn more about AREA

• Area of a Triangle via the Vector Cross Product -? JAVA
• Area of a Parallelogram via the Vector Cross Product

Section 10.7

Learn more about DIRECTION ANGLES AND DIRECTION COSINES

• MathWorld: Direction Cosine
• Using Direction Cosines
• Direction Angles and Direction Cosines

Learn more about an AZIMUTH ANGLE

• Explanation of Azimuth and Elevation with Satellite Dishes
• The Azimuth Angle with Solar Energy

Learn more about MAP PROJECTIONS

• Azimuthal Equidistant Projection
• Lambert Azimuthal Equal-Area Projection
• Orthographic Projection

Section 10.8

Learn more about VECTOR EQUATIONS OF LINES IN SPACE

• Straight Lines in 3-Space ? JAVA
• Representations of a Line in Two and Three Dimensions

Section 10.9

Learn more about VECTOR ALGEBRA

Learn more about VECTOR PROGRAMS ON TI-83/84 CALCULATORS