Lecture 1.2: A New Way of Seeing

Thinking Lens: Scale, Proportion, and Quantity

Core Idea

Introduce vectors as the universal language for describing quantities that require magnitude and direction, building on the measurement honesty established in Lecture 1.1.

Key Concepts

  • Vector notation and representation
  • Head-to-tail addition
  • Component resolution using trigonometry
  • Vector subtraction and equilibrium

Essential Questions

  • Why can't scalars alone describe many physical phenomena?
  • How do components allow us to reconcile multiple directions at once?
  • What is the relationship between graphical and analytical vector addition?