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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 on Edexcel A Level Maths Vectors, covering 12.1 3D Coordinates, 12.2 Vectors in 3D, 12.3 Solving Geometric Problems, and 12.4 Application to Mechanics. Each one builds up to exam-style questions. 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