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# Is a plane determined by two intersecting lines?

Updated: 4/28/2022

Wiki User

12y ago

Yes.

To help visualize, consider this:

A 3-legged stool won't wobble on a flat surface (3 points of contact.)

The minimum number of points to define two intersecting lines is where the point where the lines intersect, and another unique point on each line. (3 points total) This is represented by where the 3-leg stool touches the flat surface. The flat surface represents any determinant plane.

If the lines did not intersect, you would require 4 separate points to define them. This is represented by 4-leg chairs, which by contrast often wobble (if only very slightly), since the extra point is not required to define the flat surface that it rests on (the determinant plane)

In essence, 'a plane is determined by two intersecting lines' is the same as saying 'a plane is determined by three uniquepoints', which are, in both cases true.

Wiki User

12y ago

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Q: Is a plane determined by two intersecting lines?
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Related questions

plane

### Do intersecting lines ever cross?

Intersecting lines are two lines that cross in a coordinate plane. So, yes, intersecting lines cross.

### Are vertical angles formed by two intersecting lines coplanar?

Yes. They're in the plane defined by the two intersecting lines.

### How many different planes are determined by three nonlinear points or by two intersecting lines?

Exactly one plane in each case.

One.

Yes.

### Can two intersecting lines lie in two planes?

If they are straight lines, then they define a plane in which both lines lie.

### What is the locus of point equidistant from two intersecting lines?

The locus in a plane is two more intersecting lines, perpendicular to each other (and of course half-way between the given lines.

### Does intersecting lines meet at two points?

Lines in a plane can intersect at only one point.

### Is intersecting lines always coplanar?

Yes. The two lines define a plane which they both belong to.

### Are two lines that do not intersect skew?

Two lines that are not parallel and do not intersect are skew. If the non-intersecting lines are in the same plane then they are parallel.

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