Plane

In $R^3$, a plane $\vec{r}$ is determined by a position vector $\vec{r}=[x_0,y_0,z_0]$ and 2 non-collinear direction vectors $\vec{a}=[a_1,a_2,a_3]$ and $\vec{b}=[b_1,b_2,b_3]$

Plane Equations

• Vector Equation of Plane
• Parametric Equation of Plane

Determining Planes

1. A line and point not on line You can generate a second line
2. 2 Lines
3. 3 non-collinear points
4. 2 Collinear but not coincident lines