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What is the number of planes passing thr...

What is the number of planes passing through three non-collinear points?

A

3

B

2

C

1

D

0

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The correct Answer is:
To solve the problem of determining the number of planes that can pass through three non-collinear points, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Non-Collinear Points**: - Non-collinear points are points that do not all lie on the same straight line. For three points to be non-collinear, they must form a triangle. 2. **Definition of a Plane**: - A plane is a flat, two-dimensional surface that extends infinitely in all directions. It can be defined by three points that are not collinear. 3. **Determining the Number of Planes**: - When we have three non-collinear points, they uniquely determine a single plane. This is because any three points that are not on the same line will always lie on one specific flat surface. 4. **Conclusion**: - Therefore, the number of planes that can pass through three non-collinear points is **one**. ### Final Answer: The number of planes passing through three non-collinear points is **1**.

To solve the problem of determining the number of planes that can pass through three non-collinear points, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Non-Collinear Points**: - Non-collinear points are points that do not all lie on the same straight line. For three points to be non-collinear, they must form a triangle. 2. **Definition of a Plane**: ...
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