Question

Which labeled line has no point of intersection with plane S? line e line f line g line AR

Answer 1

Answer:

line g.

Step-by-step explanation:

We have been given a picture containing lines e, f, g and AR including plane S.

Now we have to find about which labeled line has no point of intersection with plane S.

We know that plane is a two dimensional quantity while line is a one dimensional quantity.

So there can be three cases:

case 1) line lies on the plane.

case 2) line intersects the plane.

case 3) line is parallel to the plane.

We have to choose third case as we are looking for the line

which has has no point of intersection with plane S.

From picture we see that only line g is parallel to S.

Hence final answer is line g.