They say, there is exactly one plane passing through three non collinear points. Does that mean each non collinear mentioned point has a plane?

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- July 16th 2013, 01:53 PMhisajeshbasic question.
They say, there is exactly one plane passing through three non collinear points. Does that mean each non collinear mentioned point has a plane?

- July 16th 2013, 02:33 PMPlatoRe: basic question.
- July 16th 2013, 03:39 PMHallsofIvyRe: basic question.
There exist an infinite number of planes through any ony point.

There exist an infinite number of points through any two points. (Rotating around the line through the two points)

There exist exactly one plane through any given three points. (Take those planes rotating around line through the two points and rotate until it touches that third point.) - July 16th 2013, 04:08 PMSorobanRe: basic question.
Hello, hisajesh!

As Plato pointed out, your question is baffling.

Let's look at a simpler problem.

Quote:

They say: there is exactly one line passing through two distinct points.

Does that mean each distinct point has a line?

We are given two distinct points.

Code:

P *

Q *

There is exactly one line through the two points.

Code:`/`

/

P *

/

/

/

/

/

Q *

/

/

You ask: Does each point have a line?

Answer: Um . . . yeah . . . I guess.

Code:`/`

/

P *

/

/

/

/

Q *

/

/

What's your point?

- July 16th 2013, 06:35 PMhisajeshRe: basic question.
There is some clarity, thanks for everyone's help!