# SACE Stage 2 Specialist Mathematics – Vectors in Three Dimensions

4.1 The Algebra of Vectors in Three Dimensions
4.2 Vector and Cartesian Equations
4.3 Sydtems of Linear Equations

The study of vectors was introduced in Stage 1 Mathematics, focusing on vectors in two-dimensional space. Three-dimensional vectors are now introduced, enabling the study of lines and planes in three dimensions, their intersections, and the angles they form. Further development of vector methods of proof enables students to solve geometric problems in three dimensions.

Students understand the interrelationships of Euclidean, vector, and coordinate geometry and appreciate that the proof of a geometric result can be approached differently.

Source – Subject Outline, South Australian Certificate of Education 2023

SACE Stage 2 Specialist Mathematics Courses

SACE Stage 2 Specialist Mathematics Syllabus

## Course Content

### Vectors

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Vectors in Space
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• 20 Lessons
• 81 Topics
• 57 Quizzes