vector : magnitude & direction
R space : real coordinate space
- all possible real value 2-tuple
- It means a list which has order
vector addition
- It does not change the shape : same dimension
- It only changes magnitude : multipling scalar value
- But, when the negative value times the vec, it can changes direction!
Represented vector in space
Another example of multi dimension
Other represented method
- by using unit vectors & polar coordinate
- polar to orthogonal : (r, theta) -> (r cos(theta), r sin(theta))
Parametric representation
- It needs a position vector, like a "slope"
- We used to get general representation : { x + tv | t in R }
- For example, position vec v is usually vec b - vec a
- And vec a or vec b is used like a bias
- Then, we can take this by using 't' both of x and y → parametric!
- Another example in 3 dimensions
물리학 전공자의 프로그래밍 도전기