01 / QUICK RECAP
Connect the ideas.
- Use displacements from the correct starting point.
- Check dot and cross products geometrically.
- A plane needs a point and a nonzero normal.
- A line-plane angle is complementary to the normal angle.
- Closest-point displacements are perpendicular.
- Distinguish inconsistency from redundant equations.
02 / PRACTICE TESTS
Put it together.
Choose a paper and show your working.
Vectors in three dimensions — practice test 1
Build confident vector and coordinate methods.
10 questions · 51 marks · 70 minutes · Scientific calculatorVectors in three dimensions — practice test 2
Connect algebra with geometric interpretation.
10 questions · 48 marks · 70 minutes · Scientific calculatorVectors in three dimensions — practice test 3
Apply spatial methods and justify each conclusion.
10 questions · 58 marks · 70 minutes · Scientific calculatorVectors in three dimensions — practice test 4
Solve mixed geometric and algebraic problems.
10 questions · 51 marks · 70 minutes · Scientific calculatorVectors in three dimensions — practice test 5
Use parameters, proof and perpendicularity in connected tasks.
10 questions · 60 marks · 70 minutes · Scientific calculatorVectors in three dimensions — practice test 6
Interpret data, diagnose errors and solve connected spatial problems, finishing with parameter cases.
10 questions · 73 marks · 75 minutes · Scientific calculator
Curriculum reference & lesson scope
SACE Board of South Australia
Stage 2 Specialist Mathematics vector algebra, vector/Cartesian equations and linear systems. Original explanations and tasks.
Official curriculum source ↗