Normal to a Sphere at a Point

Rarely Tested

Normal to a Sphere at a Point

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

$$\overrightarrow{CP}=(x_1-a)\hat i+(y_1-b)\hat j+(z_1-c)\hat k$$

Usage

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

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