I have got discrete time model of the point x movement to point y stated as:
$z = x + s\left( \frac{y - x}{||y-x||} \right)$
where
z - is new position s- is some offset for example 0,04 || y - x || - euclidean norm operator z,x,y are points in some m-dimensional R space
How to use this model (how to calculate) in
- two dimensional real space where point x (1, 1) moves to point y (4, 2) with s 0,04
- three dimensional real space where point x(1, 1, 1) moves to point y(3, 2, 3) with s 0,04