Question 1304a

Vectors II: Lines and Planes

Equation of a Plane from the Normal Vector

Question

The planes

{p_1}

and

{p_2}

are given by

\begin{align*} &p_1: \mathbf{r} \cdot \begin{pmatrix} 5 \\ 2 \\ 5 \end{pmatrix} = 31,\\ &p_2: \mathbf{r} \cdot \begin{pmatrix} - 1 \\ - 5 \\ 4 \end{pmatrix} = 21. \end{align*}

Find the acute angle,

{\theta,}

between the two planes.

{\theta = }

{^\circ}