ObsidianVault/Running Start/MATH&163 - Calculus 3/Class 9-30.md

#rs/notes #rs/class/math163

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• Vectors
  • have both magnitude and direction
  • Operations on vectors
    • scalar multiplication
      • multiply both components of vector by the same scalar
      • doensn't change the direction of the vector
    • addition
      • add the corresponding components together
      • same as putting initial point of one on terminal point of other
    • subtraction
      • v - w can be represented as v + (-w)
      • when initial points are the same, difference is the vector formed between the two terminal points
      • can also add the negative of one vector to the other
    • Component form
      • when a vectors initial point is at (0,0) it can be written in component form
      • <x, y>
    • Magnitude
      • Pythagoras