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3D Dot Product (1 of 3: Foundational ideas)
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Classroom Contents
Further Work with Vectors
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- 1 3D Coordinate System (1 of 2: Introduction)
- 2 3D Coordinate System (2 of 2: Distance formula)
- 3 Extending 2D Vectors (1 of 2: Notation & example)
- 4 Extending 2D Vectors (2 of 2: Between two points)
- 5 Ratio Division with Vectors (1 of 2: Internal)
- 6 Ratio Division with Vectors (2 of 2: External)
- 7 Vector Proof: "Unspecial" Quadrilaterals & Parallelograms
- 8 3D Dot Product (1 of 3: Foundational ideas)
- 9 3D Dot Product (2 of 3: Deriving the formula for component form)
- 10 3D Dot Product (3 of 3: Application to perpendicular vectors)
- 11 Applications of Dot Products (1 of 2: Angles between vectors)
- 12 Applications of Dot Products (2 of 2: Projections)
- 13 Resolving Vectors with Projections (1 of 2: Relation to perpendicular distance)
- 14 Resolving Vectors with Projections (2 of 2: Worked example)
- 15 Vector Equation of a Line (1 of 2: Lines in 3 dimensions)
- 16 Vector Equation of a Line (2 of 2: Worked example)
- 17 Applying Vector Equations of Lines (1 of 2: Verifying points on a line)
- 18 Applying Vector Equations of Lines (2 of 2: Intercepts & points of intersection)
- 19 Vector Equations of Curves (1 of 3: Circle - basic & shifted)
- 20 Vector Equations of Curves (2 of 3: Midpoint of a chord)
- 21 Vector Equations of Curves (3 of 3: Traversing a circle)
- 22 Vector Equations of Spheres (1 of 2: Tangential spheres)
- 23 Vector Equations of Spheres (2 of 2: Circle of intersection)
- 24 3D Vectors Questions (1 of 2: Tetrahedron)
- 25 3D Vectors Questions (2 of 2: Parallelogram pyramid)
- 26 Where do a line & sphere intersect? (Exam Question 3 of 10)
- 27 Finding vector equation of a 3D line (Exam Question 6 of 10)
- 28 Parallelogram in three dimensions (Exam Question 8 of 10)
