Vectors and Analytic Geometry

Relative Position of Lines and Planes and Trace Lines

Relative Position of Two Spheres: Tangent and Intersecting

Equation of a Plane and Converting Plane Representations

Foot-of-Perpendicular Method

Equation of a Circle

Incidence Problems: Points on Lines, Segments, Planes, Triangles and Parallelograms

Spheres in Analytic Geometry: Tangent Planes, Tangent Cones and Point, Line, Plane Relationships

Dot Product and Angle Between Vectors

Vectors in the Plane: Coordinates, Length and Linear Independence

Lines in the Plane: Equations, Distance and Angles

Reflections of Points, Lines and Planes

Lines in 3D: Equations and Trace Points

Cross Product