Question 1304c

Vectors II: Lines and Planes

Equation of a Plane from III

Question

The planes

{p_1}

and

{p_2}

are given by

\begin{align*} &p_1: \mathbf{r} \cdot \begin{pmatrix} 4 \\ - 1 \\ - 4 \end{pmatrix} = 29, \\ &p_2: \mathbf{r} \cdot \begin{pmatrix} 4 \\ - 1 \\ - 4 \end{pmatrix} = - 37. \end{align*}

Find the perpendicular distance between

{p_1}

and

{p_2.}