AAHL 3.17.1 Vector equation of a plane

The video lesson focuses on finding the vector equation of a plane. A plane is defined as a flat surface that extends infinitely in two dimensions, and to describe it mathematically, one needs a point on the plane and two direction vectors that are not parallel to each other.

Key points include:

• The equation of a plane can be expressed as: $$\mathbf{r} = \mathbf{A} + \lambda \mathbf{B} + \mu \mathbf{C}$$ where $\mathbf{A}$ is a position vector of a point on the plane, and and are direction vectors parallel to the plane.