Question

find the equation of a sphere that has endpoints of a diameter at A( 1,2,3) and B(-1,0,6)

midpoint of line AB = (0,1,9/2)
length = root(17)

Answer 1

i THINK its
\[x^2 + (y-1)^2+ (z-9/2)^2 = \sqrt(17)/2\]

amirite?

Answer 2

(x,y,z) is on the sphere with center (h,j,k) and radius r if and only if (x - h)^2 + (y - j)^2 + (z - k)^2 = r^2

That's what I got. Same center and same radius.

Answer 3

K ^.^ thank you :D