Best Answer

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.

Q: Is a plane determined by two intersecting lines?

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true * * * * * No, false. Any two straight lines that intersect define a plane in which both those lines lie.

Either perpendicular lines if the lines create 90o angles or intersecting lines.

Non-perpendicular intersecting lines. There is no special name.

Any two lines that cross at a point. For this to be possible, they have to share a plane, can't be the same line, and can't be parallel (run side-by-side)

Perpendicular lines

Related questions

plane

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

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

Exactly one plane in each case.

One.

Yes.

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

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

Lines in a plane can intersect at only one point.

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

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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