Vectors Maths Lessons & Worksheets (GCSE, IGCSE & A-Level)

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This page brings together ready-to-teach vectors maths lessons for GCSE / IGCSE and A-Level. Browse the full collection, including column-vector arithmetic, geometric problems and proof, ratio and simultaneous-equation links, then 2D and 3D vector algebra, lines and planes, scalar and cross products, distances and mechanics modelling, with each lesson designed to support clear modelling, independent practice and exam preparation.

  • Ready-to-teach vectors lessons
  • Presentations, worksheets and structured practice
  • GCSE / IGCSE and A-Level coverage
  • Scheme of work links for curriculum planning

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Use the sections below to jump straight to GCSE / IGCSE or A-Level vectors lessons.
Each resource is designed to reduce planning time and support student progression.

Jump to:  GCSE / IGCSE Vectors  |  A-Level Vectors

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Vectors: GCSE / IGCSE

These GCSE / IGCSE vectors lessons develop fluency with column-vector notation and apply vectors to geometry, ratio and algebraic proof. Topics include:

  • Addition and subtraction with column vectors
  • Vector geometry: solving problems involving shapes using vector notation
  • Vector problems with ratio
  • Geometrical proof with vectors for properties of 2D shapes
  • Vectors with simultaneous equations in higher-tier style diagrams

Used in:

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Ages 14 - 16

Addition and Subtraction with Column Vectors

Ages 14 - 16

Column Vector Equations

Ages 14 - 16

Geometrical Proof with Vectors

Ages 14 - 16

Parallel Column Vectors

Ages 14 - 16

Vector Geometry

Ages 14 - 16

Vector Problems with Ratio

Ages 14 - 16

Vectors with Simultaneous Equations

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Vectors: A-Level

These A-Level and Further Mathematics vectors lessons extend from column representation and scalar products into full 3D vector geometry, lines and planes, cross products and mechanics applications. Topics include:

  • Representing vectors in column form; magnitude and direction; position vectors; vector addition and the scalar (dot) product
  • Modelling with vectors, including applications of vectors to mechanics and motion in 3D
  • Introduction to 3D vectors, 3D vector geometry problems, and direction cosines of a 3D vector
  • Vector equation of a line in 3D, including cross-product forms; intersection of lines; shortest distance between two lines
  • Vector equation of a plane; angle between a line and a plane; shortest distance from a point to a plane; reflecting points and lines in a plane
  • Vector cross product; finding areas using the cross product; scalar triple product and volumes

Used in:

Preview the collection below. Membership unlocks the downloadable PowerPoint presentations, worksheets and full lesson resources for every product.

Ages 16 +

3D Vector Geometry

Ages 16 +

Angle Between a Line and Plane

Ages 16 +

Applications of Vectors to Mechanics

Ages 16 +

Cross Product Equation of a Line

Ages 16 +

Direction Cosines of a 3D Vector

Ages 16 +

Finding Areas Using Vectors

Ages 16 +

Introduction to 3D Vectors

Ages 16 +

Introduction to Vectors

Ages 16 +

Modelling with Vectors

Ages 16 +

Points of Intersection

Ages 16 +

Position Vectors

Ages 16 +

Reflecting Points and Lines in a Plane

Ages 16 +

Representing Vectors

Ages 16 +

Scalar Dot Product

Ages 16 +

Scalar Triple Product

Ages 16 +

Shortest Distance Between a Point and Plane

Ages 16 +

Shortest Distance between Two Lines

Ages 16 +

Vector Cross Product

Ages 16 +

Vector Equation of a Line

Ages 16 +

Vector Equation of a Plane

Ages 16 +

Vectors – Magnitude and Direction

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