If ${\mathrm{L}}_1$ is a line through the point $5\overline{\mathrm{i}}+8\overline{\mathrm{j}}+11\overline{\mathrm{k}}$ and parallel to the vector $2\overline{\mathrm{i}}+3\overline{\mathrm{j}}+4\overline{\mathrm{k}}$ and ${\mathrm{L}}_2$ is a line through the point $4\overline{\mathrm{i}}+6 \overline{\mathrm{j}}+8\overline{\mathrm{k}}$ and parallel to the vector $3\overline{\mathrm{i}}+4\overline{\mathrm{j}}+5\overline{\mathrm{k}}$, then the point of intersection of  ${\mathrm{L}}_1$ and  ${\mathrm{L}}_2$ is