A solid geometry problem

[Yurko_ogurko]

Point M - the midpoint of the edge AB of the cube ABCDA1B1C1D1. Find the distance between the straight lines A1M and B1C, given that the edge of the cube is equal to a. Please help me. It's translated from Russian language

 

[lev888]

Point M - the midpoint of the edge AB of the cube ABCDA1B1C1D1. Find the distance between the straight lines A1M and B1C, given that the edge of the cube is equal to a. Please help me. It's translated from Russian language

Could you post a drawing?

 

[Dr.Peterson]

Point M - the midpoint of the edge AB of the cube ABCDA1B1C1D1. Find the distance between the straight lines A1M and B1C, given that the edge of the cube is equal to a. Please help me. It's translated from Russian language

In addition to clarifying where the points are with a picture, can you tell us what methods you have available? This might be easier with coordinates or vectors than with mere geometry.