Yes, it is true that three non-collinear points determine exactly one plane. Here are the steps to understand why:

1. Non-collinear points are points that do not all lie on the same line.

2. In a three-dimensional space, a plane is defined as a flat, two-dimensional surface that extends infinitely far.

3. A plane in three-dimensional space can be defined by three points, as long as those points are not all on the same line (i.e., they are non-collinear).

4. This is because, if you imagine placing a flat piece of paper on three points, you can always get the paper to touch all three, no matter where they are (as long as they're not in a straight line).

5. Therefore, any three non-collinear points will determine exactly one plane.

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Yes, it is true that three non-collinear points determine exactly one plane. Here are the steps to understand why:

1. Non-collinear points are points that do not all lie on the same line.

2. In a three-dimensional space, a plane is defined as a flat, two-dimensional surface that extends infinitely far.

3. A plane in three-dimensional space can be defined by three points, as long as those points are not all on the same line (i.e., they are non-collinear).

4. This is because, if you imagine placing a flat piece of paper on three points, you can always get the paper to touch all three, no matter where they are (as long as they're not in a straight line).

5. Therefore, any three non-collinear points will determine exactly one plane.

Knowee AI · Accepted Answer

Yes, it is true that three non-collinear points determine exactly one plane. Here are the steps to understand why:

1. Non-collinear points are points that do not all lie on the same line.

2. In a three-dimensional space, a plane is defined as a flat, two-dimensional surface that extends infinitely far.

3. A plane in three-dimensional space can be defined by three points, as long as those points are not all on the same line (i.e., they are non-collinear).

4. This is because, if you imagine placing a flat piece of paper on three points, you can always get the paper to touch all three, no matter where they are (as long as they're not in a straight line).

5. Therefore, any three non-collinear points will determine exactly one plane.

Is it true that three non-collinear points determine exactly one plane?

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