- #1

afcwestwarrior

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## Homework Statement

My professor gave us 4 points A(2,3,-5) B(-2,5,1) C(9,0,4) D(3,-5,8)

So I must find an equation of the sphere that is tangent to 2 planes. These 2 planes are

18x + 39y - z= 158

18 x + 39y -z = -149

## Homework Equations

equation of sphere C(h,k,l) (x-h)^2 + (y-k)^2 + (z-l)^2 = r^2

## The Attempt at a Solution

Ok How do I find it's center and it's radius. I'm not sure as to what I do. I've never seen this type of problem written like this before. So I need help. My professor gave us a hint. He said something about the D point. Will the distance formula give me the center. From A to D.

The Vectors of these planers are <18,39, -1>

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