Parametric line $\mathbf{r}(t) = \mathbf{p} + t\mathbf{v}$ in 3-space with its direction vector
This program displays a line in R3 given in parametric form r(t) = p + t*v, where p is a point on the line and v is its direction vector. As the parameter t varies, the point traces the line. Parametric representations of lines are fundamental in multivariable calculus and linear algebra, forming the building blocks for understanding curves, surfaces, and higher-dimensional linear subspaces.
Controls: Click and drag to orbit, scroll to zoom.