General concepts of lines and planes

Question

I've come across an exercise that asks the reader to state the correct answer. For me, the only one right is the third, but I would like to know why the first one is not correct also:

The line $r$ is parallel to the plane $\alpha$, but is not contained in it. Choose the correct alternative:

• The are, in $\alpha$, lines that are perpendicular to $r$

• All lines in $\alpha$ are parallel to $r$

• There are, in $\alpha$, lines that are parallel to $r$ and lines that are skew to $r$

• Line $r$ cannot be coplanar to any line in $\alpha$

• Every plane that contains $r$ is parallel to $\alpha$

Thank you.

Answer 1

Your idea is correct. Regarding the first point, we call two lines perpendicular if they are coplanar ans intersect in a right angle. As the lines in $\alpha$ do not intersect $r$, ...