Step 1:

The line equations are and .

Let the line L₁ be equated to t and solve for x, y and z.

Let the line L₂ be equated to s and solve for x, y and z.

Now equate the corresponding x, y and z values.

                   Equation (1)

                   Equation (2)

        Equation (3)

Step 2:

Subtract equation (2) from equation (3).

Substitute in equation (2).

Substitute in the line equation L₁.

Substitute in the line equation L₁.

The two points are not equal, hence the lines are not intersecting lines.

Solution:

Lines are not intersecting lines.