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Tangent Plane to Sphere in Centre-Radius Form
For:
$$(x-a)^2+(y-b)^2+(z-c)^2=r^2$$
the tangent plane at $$P(x_1,y_1,z_1)$$ is:
$$(x_1-a)(x-a)+(y_1-b)(y-b)+(z_1-c)(z-c)=r^2$$
Usage
- Used when the sphere is given in centre-radius form.
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Tangent Plane to Sphere in Centre-Radius Form
For:
$$(x-a)^2+(y-b)^2+(z-c)^2=r^2$$
the tangent plane at $$P(x_1,y_1,z_1)$$ is:
$$(x_1-a)(x-a)+(y_1-b)(y-b)+(z_1-c)(z-c)=r^2$$
Usage
- Used when the sphere is given in centre-radius form.
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