x

Components and resultants

Components and resultants

3D axes with a vector from the origin to the point (3,-2,5), with dashed component projections labelled 3i, -2j and 5k A vector has magnitude and direction, so in 3D we describe it by how far it moves in the i\mathbf{i}i, j\mathbf{j}j and k\mathbf{k}k directions. For example, 3i−2j+5k3\mathbf{i}-2\mathbf{j}+5\mathbf{k}3i−2j+5k means 3 units in xxx, 2 units in the negative yyy direction, and 5 units in zzz.

Vectors Lesson

  1. A Level
  2. /Maths
  3. /Vectors

Step-by-step lessons covering Edexcel A Level Maths Vectors for A Level Maths. Each lesson breaks down 12.1 3D Coordinates, 12.2 Vectors in 3D, 12.3 Solving Geometric Problems, and 12.4 Application to Mechanics, then works through exam-style questions in Paper 1, Paper 2 and Paper 3 format. Build fluency with the core pure algebra and calculus toolkit early, since almost every mechanics and statistics topic on the course depends on it.

Lessons

Algebraic MethodsSequences and SeriesBinomial ExpansionRadiansTrigonometric FunctionsTrigonometry and ModellingParametric EquationsDifferentiationNumerical MethodsIntegrationVectors