Tangent Plane to a Sphere

Rarely Tested

Tangent Plane to a Sphere

For sphere:

$$x^2+y^2+z^2+2gx+2fy+2hz+c=0$$

the tangent plane at $$P(x_1,y_1,z_1)$$ is:

$$xx_1+yy_1+zz_1+g(x+x_1)+f(y+y_1)+h(z+z_1)+c=0$$

Usage

- Used to find the tangent plane at a specified point on the sphere.

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