What if the lines are in 3D (or higher dimensions)? Wouldn't we be unable to solve the system then?
RimskyKors
If you can't solve the system, that would mean the lines are skew. You would run into problems doing this numerically though (the lines might be supposed to intersect but be slightly skew because of rounding error. A better idea would be to find the distance between the two lines and check if it is within some small tolerance.
What if the lines are in 3D (or higher dimensions)? Wouldn't we be unable to solve the system then?
If you can't solve the system, that would mean the lines are skew. You would run into problems doing this numerically though (the lines might be supposed to intersect but be slightly skew because of rounding error. A better idea would be to find the distance between the two lines and check if it is within some small tolerance.