Answer:
Yes a third plane can be drawn which contains parallel lines.
Step-by-step explanation:
There are two points:
1) a third plane can cab drawn which can have two line parallel as shown in the figure 1.
2) If plane A has a line and plane B has a line such that they are parallel to each other than the third plane cannot be drawn which contains both lines and b parallel.
A third plane can have only two lines parallel if they are not parallel in the in the other two planes.
We see that lines c and d parallel in the third plane are perpendicular in the planes A an d B.
