Equation of Normal to a Sphere

Rarely Tested

Equation of Normal to a Sphere

For sphere with centre $$C(a,b,c)$$ and point $$P(x_1,y_1,z_1)$$ on it, the normal is:

$$\frac{x-x_1}{x_1-a}=\frac{y-y_1}{y_1-b}=\frac{z-z_1}{z_1-c}$$

Usage

- Used to find the normal line at a specified point on a sphere.

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