Find the relationship and the acute angles between the two planes. If the planes are parallel to eac

Question

Find the relationship and the acute angles between the two planes. If the planes are parallel to each other, find the perpendicular distance between the planes, otherwise, find the equation of line which two planes intersect.

${{\Pi }_{1}}:x+2y-5z=13$, ${{\Pi }_{2}}:x+3z=-2$

Accepted Answer

Intersecting, $36.1^\circ$, $\mathbf r=\begin{pmatrix}-2\ \frac{15}{2} \ 0\end{pmatrix}+\lambda\begin{pmatrix}-3\4\1\end{pmatrix}$

Vectors - Relationships Between Two Planes

Vectors - Relationships Between Two Planes

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