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#rs/notes #rs/class/math163
- - -
- 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