Scalar

Has magnitude
No direction

Examples

  • Distance
  • Speed
  • Time
  • Mass
  • Energy
  • Temperature
  • Pressure

Vector

Has magnitude
Has direction

Examples

  • Force
  • Weight
  • Velocity
  • Acceleration
  • Momentum
  • Gravitational acceleration
  • Electric field strength

Vector operations

Vector addition and subtraction

Addition
Join both vectors head to tail,
draw line from a to b

Subtraction
Join both vectors head to head,
draw line from a to b (minuend to subtrahend)

Vector resolution

Any vector can be represented by two perpendicular vector components

Vector components

Resolve towards angle: cosine
Resolve away from angle: sine