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} - 4 \\ 2 \\ 3 \end{pmatrix} = 8,\\ &p_2: \mathbf{r} \cdot \begin{pmatrix} 5 \\ - 3 \\ 1 \end{pmatrix} = - 2. \end{align*}

Find the acute angle,

{\theta,}

between the two planes.

{\theta = }

{^\circ}