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Q: How many different lines are determined by three noncollinear points?

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There are 13*12/2 = 78 lines.

3

Not necessarily. Points may lie in different planes.

It is a tranversal.

The answer will depend on the relative positions of the points.

Related questions

there are 6 lines can pass through 4 noncollinear points.

If you are talking about straight lines, the answer is NONE, because that is what noncollinear means. If curves are allowed, then the answer is infinitely many.

As long as at least two of them are different points, exactly one line.

Three lines are determined by three points unless the points are all on the same line ( i.e. co-linear)

Any three non-collinear points will define a single plane. A plane is composed of an infinite number of distinct lines.

One.

In classical or Euclidean plane geometry two points defines exactly one line. On a sphere two points can define infinitely many lines only one of which will represent the shortest distance between the points. On other curved surfaces, or in non-Euclidean geometries, the number of lines determined by two points can vary. Even in the Euclidean plane, two points determine infinitely many lines that are not straight!

Exactly one plane in each case.

There are 13*12/2 = 78 lines.

3

4*3/2 = 6 lines.

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