# What can be an intersection of a line and a plane?

## What can be an intersection of a line and a plane?

If a line and a plane intersect one another, the intersection will be a single point, or a line (if the line lies in the plane). If we want to double-check ourselves, we can plug this coordinate point back into the equation of the plane.

## How do you describe the intersection of a plane?

Definitions for Describing Intersections in a Plane Point: A point in a plane is a zero-dimensional object and is the building block of lines and other shapes. If two lines are perpendicular, they only cross at one point. Line: A line is a one dimensional object, and is a collection of points next to each other.

**How do you write the intersection of two planes?**

The intersection of two planes is always a line where a, b and c are the coefficients from the vector equation r = a i + b j + c k r=a\bold i+b\bold j+c\bold k r=ai+bj+ck.

**What is the intersection of a line and a plane perpendicular to the plane?**

When a line is perpendicular to two lines on the plane (where they intersect), it is perpendicular to the plane. It will also be perpendicular to all lines on the plane that intersect there. Through a given point there passes: one and only one line perpendicular to a plane.

### Why do two planes intersect in a line?

So these planes which extend infinitely in their directions would create an intersection of a line. So the intersection of two planes will be a line. You can use this concept when you think about a plane intersecting different three dimensional solids.

### When two planes intersect their intersection is A?

If two planes intersect, then their intersection is a line (Postulate 6). A line contains at least two points (Postulate 1). If two lines intersect, then exactly one plane contains both lines (Theorem 3). If a point lies outside a line, then exactly one plane contains both the line and the point (Theorem 2).

**What are the types of intersections in geometry?**

6.3 Geometric Intersections

- Interval intersection. Given n closed intervals [ai, bi], find all pairs of intervals that overlap.
- Vertical-horizontal line intersection.
- Line segment intersection.
- Overlapping intervals.
- Max bandwidth.
- 2D interval intersection.

**How do you write an intersection in geometry?**

The line segments intersect at point K. An intersection is a single point where two lines meet or cross each other. In the figure above we would say that “point K is the intersection of line segments PQ and AB”. Another way it may be said is that “the line segment PQ intersects AB at point K”.

#### Why is the intersection of two planes a line?

The intersection of two planes is a line. If the planes do not intersect, they are parallel. They cannot intersect at only one point because planes are infinite. Furthermore, they cannot intersect over more than one line because planes are flat.

#### What is the intersection of two planes answer?

Answer: The intersection of two planes is always a straight line.