Sphere with Diameter as a Given Line Segment

Sphere with Diameter as a Given Line Segment

If $$a$$ and $$b$$ are endpoints of a diameter, then any point $$p$$ on the sphere satisfies:

$$\overrightarrow{PA}\cdot\overrightarrow{PB}=0$$

Usage

- Used to derive or verify the diameter-form equation using the right angle subtended by a diameter.

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