Maths - Vectors

Year 12 Mathematics Extension 2

Vectors

Notes

01 moving from 2D to 3D 02 vectors in 3D 03 dot product 04 applications of the dot product 05 vector equation of a line 06 vector equation of curves

Algebraic Operations on VectorsThe Scalar Product (1)The Scalar Product (2)VectorsVector Equations of Lines in 3D

Playlist

Vector Equation of a line 3D

Introduction to Vectors

Year 12 Ext 2 - Vectors.pdf

Plotting Points in 3D: AR Template

Links

GeoGebra: https://www.geogebra.org/Autograph (Free for 30 days): http://www.autograph-maths.com/ Videos:Right-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 apps:Multiplying a Vector in 3D by a Scalar: https://www.geogebra.org/m/g6ywZJ6x
right-handed coordinate frame for the three axes. Students watch the video 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 quantityStudents watch the video ‘Dot Product Intuition’ Students watch the video 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 vectorStudents watch the video How to find the vector equation of a line Students watch the video Parallel, intersecting, skew and perpendicular lines Students watch the video: Sketching the vector equation

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