Vectors in three dimensions — Topic Review | Year 12

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.

Complete each paper and show your working.

Vectors in three dimensions — practice test 1
10 questions · 51 marks · 70 minutes · Scientific calculator
Build confident vector and coordinate methods.
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Vectors in three dimensions — practice test 2
10 questions · 48 marks · 70 minutes · Scientific calculator
Connect algebra with geometric interpretation.
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Vectors in three dimensions — practice test 3
10 questions · 58 marks · 70 minutes · Scientific calculator
Apply spatial methods and justify each conclusion.
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Vectors in three dimensions — practice test 4
10 questions · 51 marks · 70 minutes · Scientific calculator
Solve mixed geometric and algebraic problems.
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Vectors in three dimensions — practice test 5
10 questions · 60 marks · 70 minutes · Scientific calculator
Use parameters, proof and perpendicularity in connected tasks.
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Vectors in three dimensions — practice test 6
10 questions · 73 marks · 75 minutes · Scientific calculator
Interpret data, diagnose errors and solve connected spatial problems, finishing with parameter cases.
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