If r = x, y, z and r0 = x0, y0, z0 , describe the set of all points (x, y, z) such that |r − r0| = 5.

Point represents a sphere

Step-by-step explanation:

Take

We need to describe the set of all points (x, y, z) such that

Solution :

For , we will subtract the respective elements .

Therefore,

As , we get

On squaring both sides, we get

The general equation of a sphere is (x - a)² + (y - b)² + (z - c)² = r², where (a, b, c) denotes the center of the sphere and r represents the radius .

So, represents a sphere with center as and radius equal to 5 units

i used to know but i learned it a long time ago sorry

step-by-step explanation: