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O LEVEL MATHEMATICS ยท VECTORS

Vectors

Learn to represent movement, combine directions and calculate magnitude using clear diagrams and vector methods.

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Vectors Learning Roadmap

Move from notation and column vectors to operations, magnitude and geometric reasoning.

01Available
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Introduction and Vector Notation

Understand magnitude, direction and the language of vectors.

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02Available
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Column Vectors and Cartesian Movement

Convert movements and coordinates into column-vector form.

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03Available
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Types of Vectors

Recognise equal, negative, parallel, translation and position vectors.

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04Available
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Vector Addition

Combine movements using component and head-to-tail methods.

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05Available
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Vector Subtraction

Use negative vectors and position vectors to find differences.

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06Available
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Scalar Multiplication

Scale vectors, reverse directions and solve component equations.

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07Available
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Magnitude of a Vector

Use Pythagoras to calculate vector length.

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08Available
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Position Vectors and Points

Connect coordinates, movements and points on the plane.

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09Challenge
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Vector Properties of Plane Shapes

Use routes, diagonals and scalar multiples to reason about shapes.

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10Challenge
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Combined Vector Operations

Simplify multi-step expressions and solve vector equations.

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11Review
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Vectors Mixed Review

Combine notation, operations, magnitude and geometric reasoning.

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12Checkpoint
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Vectors Final Checkpoint

Complete an exam-style assessment across the full topic.

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