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Diameter Form of a Sphere
If the endpoints of a diameter are:
$$A(x_1,y_1,z_1)$$
and:
$$B(x_2,y_2,z_2)$$
then the sphere is:
$$(x-x_1)(x-x_2)+(y-y_1)(y-y_2)+(z-z_1)(z-z_2)=0$$
Usage
- Used when the endpoints of a diameter are directly given.
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Diameter Form of a Sphere
If the endpoints of a diameter are:
$$A(x_1,y_1,z_1)$$
and:
$$B(x_2,y_2,z_2)$$
then the sphere is:
$$(x-x_1)(x-x_2)+(y-y_1)(y-y_2)+(z-z_1)(z-z_2)=0$$
Usage
- Used when the endpoints of a diameter are directly given.
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