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Extension 2 · Year 12 · Module 14

Further Work with Vectors

Three-dimensional vectors and operations, the dot product, scalar and vector projection, equations of lines in 3D (vector, parametric and Cartesian forms), intersection and skew lines, distance from a point to a line, and using vectors to prove classical geometric theorems.

12lessons
MEX-V1NESA outcome
6–8hrs study
Start Lesson 1 →
1
Vectors in 3D, Notation & Components
2
Vector Operations in 3D
3
Scalar (Dot) Product in 3D
4
Vector Projection
5
Equation of a Line, Vector Form
6
Equation of a Line, Parametric & Cartesian
7
Intersection of Lines in 3D
8
Skew Lines
9
Distance from a Point to a Line
10
Vector Proof I, Algebraic Techniques
11
Vector Proof II, Classical Geometry
12
Module 14 Synthesis & Exam Technique