Question

If a third plane could be drawn which contains both lines a and b, then lines a and b must be parallel. lines a and b cannot be parallel. lines a and b must be skew. lines a and b must be perpendicular.

Answer 1

Yes a third plane can be drawn which contains parallel lines.

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.