Study guide and 4 practice problems on:

## A plane is specified by a point and a normal vector

To specify a plane, we need a point $\mathbf{x_0}$ and a normal vector $\mathbf{n}$.
A plane with normal vector $\bfn$ is given by $$\bfn\cdot \bfx = b$$ for some $b$.
The plane going through $\bfx_0$ with normal vector $\bfn$ is given by $$\bfn \cdot \bfx = \bfn \cdot \bfx_0.$$