What is a plane containing point V? What is the intersection of plane S and plane WTU?

Answer 1

Plane Containing Point V

A plane in geometry is a flat, two-dimensional surface that extends infinitely in all directions. It can be thought of as an endless sheet of paper.

When we say a plane contains a point V, it means that the point VVV lies on this plane. So, if you imagine the plane as an infinite flat surface, point V is somewhere on that surface.

Intersection of Two Planes

When two planes intersect, they do so along a line. Here’s how you can understand it:

1. Imagine Two Planes: Picture two flat, infinite sheets of paper. If these two sheets are not parallel (i.e., they are not facing the same direction), they will cross each other.
2. Intersection Line: The place where these two sheets of paper cross each other is a line. This line is called the intersection line.

For Planes S and W

1. Plane S: This is one of the flat surfaces.
2. Plane W: This is another flat surface.

If plane SSS intersects with plane W, the result is a line where these two planes cross.

In simpler terms:

1. Plane S and Plane W are like two large, flat sheets that meet each other along a line.
2. The intersection is that line where the two planes cross.

So, the intersection of plane S and plane W is a line that extends infinitely along the place where the two planes overlap.