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Vectors H2 Mathematics In this course, we will learn the basics concepts to the advanced applications of Vectors in the H2 Mathematics Syllabus. The lessons are mainly recorded during our live-streamed lessons.
Course outline
- Unit Vectors and Its Applications
- Basic results of Vectors
- Scalar and Vector products
- Line and Plane Equations
- Applications of Scalar and Vectors Products
- 3 Dimensional Problems
Course Content
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Vector Algebra
Basic Results
7 Questions
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Basic Results: Unit Vectors
3 Questions
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Application of Unit Vector
3 Questions
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Basic Results: Ratio Theorem
1 Question
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Basic Results: Dot Product
2 Questions
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Basic Results: Magnitude of Vectors
2 Questions
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Basic Results: Application of Dot Product: Perpendicular Vectors
4 Questions
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Basic Results: Application of Cross Product: Area of Parallelogram and Triangle
3 Questions
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Practice 1 – Basic Results
13 Questions
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Dot Product
6 Questions
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Cross Product
3 Questions
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Lines
Application of Dot Product: Angle Bisector
4 Questions
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Equation of Line
1 Question
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Finding Equations of Line
3 Questions
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Relationships Between Two Lines
6 Questions
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Further Applications of Dot and Cross Product
1 Question
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Length of Projection
5 Questions
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Foot of Perpendicular of a Point to a Line and Point of Reflection
3 Questions
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Planes
Practice 2 – Lines
5 Questions
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Equation of Planes
1 Question
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Finding The Equations of Planes
4 Questions
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Finding Points on a Plane
2 Questions
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Relationships Between a Point and a Plane
1 Question
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Finding the Distance of a Point to the Plane
2 Questions
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Finding the Intersection between a Line and a Plane
3 Questions
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Relationship Between a Line and a Plane
6 Questions
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Practice 3 – Planes
4 Questions
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Relationships Between Two Planes
14 Questions
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Further Problems
Practice 4
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Vectors – Further Practice
2 Questions
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Three-Dimensional Geometry
3 Questions
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Practice 5
1 Question
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