Symmetric equations of the lines are

and .

Standard form of symmetric equations of the line are .

Here vector is parallel line to the above line.

Parallel line corresponding to the line is .

Consider .

Similarly parallel line corresponding to the line is .

Consider .

If these two parallel lines are parallel, then the lines and also parallel.

Find the cross product of and .

The cross product is not equal to zero, then the lines are not parallel.

Check for intersection of the  lines:

If and had a point of intersection, find the intersection point by solving the lines.

Consider and

Write the line equations in parametric form.

and .

Equate the corresponding values.

Solve the equation for .

Substitute in .

.

The lines and are not intersecting lines.

Therefore, the two lines are skew lines.

The lines and are not intersecting lines they are skew lines.