- #1
songoku
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Homework Statement
In the space, consider the sphere S1 of radius 3 whose center is the point A (1, -1, 1) and the sphere S2 of radius 2 whose center is the point B(t, 1 - t, 1 + t).
a. Find the range of values of t in order the two spheres S1 and S2 have common points
b. Find the value of t for which B is closest to the point A
c. For the value of B obtained from (b), find the radius of circle formed as intersection of S1 and S2
Homework Equations
differentiation
equation of sphere: (x - a)2 + (y - b)2 + (z - c)2 = r2
The Attempt at a Solution
I tried to equate the two equations of sphere and set discriminant ≥ 0, but I ended up having equation containing three variables x, y and z which can't be solved.
To be honest, the only equation I know about sphere is the one I wrote above...