Question

Let $O$ be the origin, and $M$ and $N$ be the points on the lines $\frac{x - 5}{4} = \frac{y - 4}{1} = \frac{z - 5}{3}$and$\frac{x + 8}{12} = \frac{y + 2}{5} = \frac{z + 11}{9}$respectively, such that $MN$ is the shortest distance between the given lines. Then $OM \cdot ON$ is equal to ______.

Answer 1

The Correct Answer is