Quickly determine the parametric equation of a plane in 3D space. This online calculator allows you to input either three non-collinear points or a point and two non-parallel direction vectors. Simplify your 3D geometry, vector calculus, and linear algebra problems with accurate, instant solutions.
Formula:
The parametric equation of a plane is generally given by:
P(t, s) = P₀ + tV₁ + sV₂
Where:
- P₀: A known point on the plane (e.g., (x₀, y₀, z₀)).
- V₁: The first direction vector lying in the plane (e.g., (v₁x, v₁y, v₁z)).
- V₂: The second direction vector lying in the plane (e.g., (v₂x, v₂y, v₂z)). V₂ must not be parallel to V₁.
- t, s: Scalar parameters that vary over all real numbers (ℝ).