Parallel and Perpendicular Lines

Consider the line https://webwork.dartmouth.edu/webwor...6815c1eba1.png. Then:

L is (parallel/perpendicular/neither) to the plane https://webwork.dartmouth.edu/webwor...6209222a61.png
L is (parallel/perpendicular/neither) to the plane https://webwork.dartmouth.edu/webwor...5a79cccbd1.png
L is (parallel/perpendicular/neither) to the plane https://webwork.dartmouth.edu/webwor...205f66dc71.png
L is (parallel/perpendicular/neither) to the plane https://webwork.dartmouth.edu/webwor...46dc63a041.png

For the third line, when I took the cross product, I ended up with 0.
For the fourth line, <6,8,2> is a scalar multiple of <3,4,1>, so I am assuming the fourth line is parallel?

Thank you in advance.