Chapter 12: VECTORS, PLANES & 3D

3D Cartesian Coordinates I

3D Cartesian Coordinates II

3D Cartesian Coordinates III

3D Cartesian Coordinates IV

3D Cartesian Coordinates V

3D Cartesian Coordinates VI

3D Cartesian Coordinates VII

3D Cartesian Coordinates VIII

3D Cartesian Coordinates IX

3D Cartesian Coordinates X

Paul's Notes Site for Chapter 12

Worksheet 12.1

Vectors in R^3 (12.2)

Dot Product Examples (12.3)

Direction Angles (12.3)

Vector Projections (12.3)

Cross Product Examples (12.4)

Triple Scalar Product (12.4)

Vector Equations of Lines (12.5)

Vector Equation of Line Segments (12.5)

Determining Characteristics of 2 lines (12.5)

Equations of Planes (12.5)

Equation of a Plane with Normal Vector (12.5)

Equation of a Plane Orthogonal to a Line (12.5)

Intersection of Line and Plane (12.5)

Angles Between Planes (12.5)

Distance Between a Point and a Line (12.5)

Distance Between a Point and a Plane (12.5)

Distance Between Parallel Planes (12.5)

Quadric Surfaces (12.6)

Class Notes: Quadric Surfaces (12.6)

Worksheet 12.1-12.2