Year 12
Mathematics Extension 2
Vectors
5A Moving from 2D to 3D5B Vectors in 3D5C Dot Product5D Applications of the Dot Product5E Vector Proofs in Geometry5F Vector Equation of a Line in 2D5G Vector Equation of a Circle
Year 12 Mathematics Ext 2 (Cambridge) Ch 5 - Vectors
Year 12 Ext 2 - Vectors.pdf
GeoGebra: https://www.geogebra.org/Autograph http://www.autograph-maths.com/ VideosRight-handed coordinate frame: https://robotacademy.net.au/lesson/right-handed-3d-coordinate-frame/Cartesian Coordinates in Three Dimensions: https://www.youtube.com/watch?v=VA5AmjhTA3ADot Product Intuition: https://www.youtube.com/watch?v=FrDAU2N0FEgVector Equation of a Line: https://www.youtube.com/watch?v=R5r1IH2hII8How to find the vector equation of a line: https://www.youtube.com/watch?v=WPYTruLFas8Parallel, intersecting, skew and perpendicular lines: https://www.youtube.com/watch?v=r5DwyBFxD7QInteractive appsMultiplying a Vector in 3D by a Scalar: https://www.geogebra.org/m/g6ywZJ6xright-handed coordinate frame for the three axes. Cartesian Coordinates in Three DimensionsMultiplying a Vector in 3D by a Scalar students explore the effect of multiplying a vector in three dimensions by a scalar quantity‘Dot Product Intuition’ Vector Equation of a Line to enable them to determine that the vector equation of a line can be defined by a position vector and a direction vectorHow to find the vector equation of a line Parallel, intersecting, skew and perpendicular lines Sketching the vector equation