Find the ratio in which the XZ plane divides the line joining A(–2, 3, 4) and B(1, 2, 3).

The ratio in which the XZ plane divides the line joining $\mathrm{A}\left({\mathrm{x}}_1,{\mathrm{y}}_1,{\mathrm{z}}_1\right)\text{ and }\mathrm{B}\left({\mathrm{x}}_2,{\mathrm{y}}_2,{\mathrm{z}}_2\right)\text{ is }-{\mathrm{y}}_1:{\mathrm{y}}_2$
Here $\begin{array}{r}\mathrm{A}(-2,3,4)\\ \mathrm{A}\left({\mathrm{x}}_1,{\mathrm{y}}_1,{\mathrm{z}}_1\right)\end{array}| \begin{array}{l}\mathrm{B}(1,2,3)\\ \mathrm{B}\left({\mathrm{x}}_2,{\mathrm{y}}_2,{\mathrm{z}}_2\right)\end{array}$
$\therefore \mathrm{Ratio} \mathrm{is} – 3 : 2$