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It is possible for a line and a plane to intersect at a single point.

Question

It is possible for a line and a plane to intersect at a single point.

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Solution

Yes, it is possible for a line and a plane to intersect at a single point. Here are the steps to understand this:

Step 1: Understand the definitions. A line is a straight one-dimensional figure that extends infinitely in both directions. A plane is a flat, two-dimensional surface that extends infinitely far.

Step 2: Visualize the scenario. Imagine a piece of paper (the plane) and a pencil (the line). If you poke the pencil through the paper, it will intersect the paper at one point.

Step 3: Apply the concept of intersection. In geometry, an intersection is a single point where two lines meet or cross each other. In this case, the line (pencil) and the plane (paper) intersect at the point where the pencil pokes through the paper.

So, it is indeed possible for a line and a plane to intersect at a single point.

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