Statics › Section B · Forces and other vectors › Topic B.1

Scalars and vectors

A 500 N force pulling a crate forwards and a 500 N force pressing it into the floor have very different effects. Statics is built on vectors, quantities that carry a direction as well as a size, and this topic sets out the language and the simplest arithmetic for handling them.

In this topic

  • Two kinds of quantity
  • Notation
  • Anatomy of a vector
  • Describing a direction
  • Scalar components and magnitudes
  • One-dimensional vectors
  • Worked example: three pulls on one rope
  • Subtraction and scaling
  • Worked example: subtracting and scaling
  • Common mistakes to avoid
  • Key takeaways

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