Vectors in two dimensions — Topic Review | Year 11

QUICK RECAP

Connect the ideas

A vector has both magnitude and direction; its starting point is irrelevant unless it is a position vector.

Components describe directed changes, so subtraction must preserve their signs.

For non-zero vectors, dot products give angles, perpendicularity and projections.

A geometric proof must identify the vectors and justify its conclusion, not just show a diagram.

Complete each paper and show your working.

Vectors in two dimensions — Practice test 1
10 questions · 46 marks · 65 minutes · Scientific calculator
Build from components and direction to projections and a geometric proof.
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Vectors in two dimensions — Practice test 2
10 questions · 48 marks · 65 minutes · Scientific calculator
Use unknown components, coordinate data and direction tests to justify decisions.
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Vectors in two dimensions — Practice test 3
10 questions · 52 marks · 70 minutes · Scientific calculator
Connect exact values, projections and geometric structure, with a short proof to finish.
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Vectors in two dimensions — Practice test 4
10 questions · 54 marks · 70 minutes · Scientific calculator
Apply vectors to routes, forces and geometric decisions; distinguish a calculation from its interpretation.
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Vectors in two dimensions — Practice test 5
10 questions · 61 marks · 75 minutes · Scientific calculator
A more demanding synthesis paper combining unknowns, modelling, projections and general proofs.
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