2.1: Geometry and Measurement in Two and Three Dimensions
2.1.1: Points, Midpoints, and Distances in Space
2.1.2: Equation of a Sphere
2.1.3: Vectors in Space
2.1.4: Magnitude of a Vector in 3D
2.1.5: Scalar Multiplication and Unit Vectors
2.1.6: Direction Angles and Direction Cosines
2.1.7: Vector Operations in 3D
2.1.8: Dot Product in 2D
2.1.9: Dot Product in 3D
2.1.10: Angle between Two Vectors in Space
2.1.11: Vector Projection
2.1.12: Cross Product in 2D
2.1.13: Cross Product in 3D
2.1.14: Parallel and Perpendicular Vectors in Space
2.1.15: Scalar Triple Product
2.2: Straight Lines and Planes in Space
2.2.1: Equation of a Straight Line in Space: Cartesian and Vector Forms
2.2.2: Equation of a Straight Line in Space: Parametric Form
2.2.3: Angle between Two Straight Lines in Space
2.2.4: Equations of Parallel and Perpendicular Lines in Space
2.2.5: Equation of a Plane: Vector, Scalar, and General Forms
2.2.6: Equation of a Plane: Intercept and Parametric Forms
2.2.7: Angle between Two Planes
2.2.8: Equations of Parallel and Perpendicular Planes
2.2.9: Intersection of Planes
2.2.10: Distances between Points and Straight Lines or Planes