## [ Coordinate method in space $\quad]$  [ Distance between skew lines ]

In a rectangular parallelepiped $A B C D A 1 B 1 C 1 D 1$, it is known that $A B=3, B C=2, C C 1=4$. On the edge $A B$, a point $M$ is taken such that $A M: M B=1: 2 ; K-$ is the point of intersection of the diagonals of the face $C C 1 D 1 D$. Find the angle and the distance between the lines $D 1 M$ and $B 1 K$.