Can skew lines share a normal vector?
I know that if I take the cross product of two vectors then I will be able to find the normal vector to the plane created by $a\times b$.
And if I take the cross product of the direction vectors from the skew lines and it is non zero, then I will get the normal vector to a plane created by the direction vectors.
And from there I could come up with an equation for the plane created by those two vectors?
How would I do that?