1. Elementary Operations
1.1 Scalars and Vectors
1.2 Equality of Vectors
1.3 Vector Addition and Subtraction
1.4 Multiplication of a Vector by a Scalar
1.5 LInear Dependence of Vectors
1.6 Applications of Linear Dependence
1.7 Position Vectors
2. Products of Vectors
2.1 The Scalar Product
2.2 Applications of the Scalar Product
2.3 Circles and Lines on a Coordinate Plane
2.4 Translation and Rotation
2.5 Orthogonal Bases
2.6 The Vector Product
2.7 Applications of the Vector Product
2.8 The Scalar Triple Product
2.9 The Vector Triple Product
2.10 Quadruple Products
2.11 Quaternions
3. Planes and Lines in Space
3.1 Direction Cosines and Numbers
3.2 Equation of a Plane
3.3 Equation of a Sphere
3.4 Angle Between Two Planes
3.5 Distance Between a Point and a Plane
3.6 Equation of a Line
3.7 Skew Lines
3.8 Distance Between a Point and a Line
Bibliography for Reference
Answers for Odd-Numbered Exercises
Index