How can I use the minimum distance between two skew lines to find the exact coordinate where the distance between the two lines is the shortest? Let's say the lines have the equations:
$$g = (1,3,5)^T + b(7, 11, 13), b \in \mathbb{R}$$
$$h = (2,7,5)^T + c(1,2,5), c \in \mathbb{R}$$
I used an online calculator to find the minimum distance to be $1.615$, however I'm not sure how I can use to figure out the coordinates where the distance is the shortest. I assume I have to first calculate the values of $b$ and $c$ where the distance is the shortest and then use that to simply the two equations, which will give me the coordinates - but I don't know how to do that.