Vectors

Quantities with both size and direction, and the algebra that lets you prove geometric facts with them. This is DfE content area J (Vectors); in Year 1 all vectors are two-dimensional.

  • An Overview — the big idea, the notation, the core techniques and the common mistakes

The content statements

  • Vectors in Two Dimensions — i, j and column notation, magnitude and direction, unit vectors, position vectors and distances
  • Vector Geometry — parallel and collinear points, dividing a line in a ratio, geometric proof, and forces and velocities

Each page has step-by-step notes, several worked examples, a quick-reference grid and ten practice questions with fully worked solutions.