Further Work with Vectors

3D Coordinate System (1 of 2: Introduction).
3D Coordinate System (2 of 2: Distance formula).
Extending 2D Vectors (1 of 2: Notation & example).
Extending 2D Vectors (2 of 2: Between two points).
Ratio Division with Vectors (1 of 2: Internal).
Ratio Division with Vectors (2 of 2: External).
Vector Proof: "Unspecial" Quadrilaterals & Parallelograms.
3D Dot Product (1 of 3: Foundational ideas).
3D Dot Product (2 of 3: Deriving the formula for component form).
3D Dot Product (3 of 3: Application to perpendicular vectors).
Applications of Dot Products (1 of 2: Angles between vectors).
Applications of Dot Products (2 of 2: Projections).
Resolving Vectors with Projections (1 of 2: Relation to perpendicular distance).
Resolving Vectors with Projections (2 of 2: Worked example).
Vector Equation of a Line (1 of 2: Lines in 3 dimensions).
Vector Equation of a Line (2 of 2: Worked example).
Applying Vector Equations of Lines (1 of 2: Verifying points on a line).
Applying Vector Equations of Lines (2 of 2: Intercepts & points of intersection).
Vector Equations of Curves (1 of 3: Circle - basic & shifted).
Vector Equations of Curves (2 of 3: Midpoint of a chord).
Vector Equations of Curves (3 of 3: Traversing a circle).
Vector Equations of Spheres (1 of 2: Tangential spheres).
Vector Equations of Spheres (2 of 2: Circle of intersection).
3D Vectors Questions (1 of 2: Tetrahedron).
3D Vectors Questions (2 of 2: Parallelogram pyramid).
Where do a line & sphere intersect? (Exam Question 3 of 10).
Finding vector equation of a 3D line (Exam Question 6 of 10).
Parallelogram in three dimensions (Exam Question 8 of 10).