Skew lines in box

[C B]

Using the skew lines box on the top of the wiki entry for skew lines, why are segments A1B1 and CD not skew? They aren't in the same plane yet they are listed as parallel in my book.

https://en.m.wikipedia.org/wiki/Skew_lines

 

[Deleted member 4993]

Using the skew lines box on the top of the wiki entry for skew lines, why are segments A1B1 and CD not skew? They aren't in the same plane yet they are listed as parallel in my book.

https://en.m.wikipedia.org/wiki/Skew_lines

Those are in one plane! It is not a horizontal or vertical plane - it is a slanted plane.

Draw the diagonal lines A₁B and D₁C - and you'll see what is meant.

 

[C B]

Those are in one plane! It is not a horizontal or vertical plane - it is a slanted plane.

Draw the diagonal lines A₁B and D₁C - and you'll see what is meant.

So then I have to assume that there is not empty space or non space within the box? The box is solid? It's not 6 planes, but rather an infinite number?

 

[stapel]

So then I have to assume that there is not empty space or non space within the box? The box is solid? It's not 6 planes, but rather an infinite number?

In a sense, yes. Infinitely-many planes can be put through various points of the prism formed by the line segments.