Answer:
The equation of the sphere with center (-2, 3, 7) and radius 7 is .
The intersection of the sphere with the yz-plane is .
Step-by-step explanation:
We know that any sphere can be represented by the following equation:
Where:
,
,
- Coordinates of the center of the sphere, dimensionless.
- Radius of the sphere, dimensionless.
If and
, we obtain this expression:
The intersection of the sphere with the yz-plane observe the following conditions:
,
,
Hence, the expression above can be reduced into this:
