Question

find the maximum and minimum distance of the point (3,4,12) from the sphere x.x +y.y+z.z=1

Answer 1

well i can think of a way to construct this however i'm not sure this is how it would be done

Answer 2

This sphere has a radius of 1. The point is √(3^2 + 4^2 + 12^2) from (0,0,0)
√9+16+144 = √169 = 13 away from the origin

Answer 3

Therefore the min distance is 12 and the max is 14

Answer 4

ahh so that would be the way to solve it

Answer 5

That's how I'd look at it, from a pure geometrical side.

Answer 6

yeah that was what i wa thinking only in a sense where the center is not ,0,0,0

Answer 7

If the center wasn't (0,0,0) then it would make the problem harder. Still do-able, but harder.

Answer 8

especially if it is osmething like this

Answer 9

oh wait nvm it's a a point so it would'nt be that hard

Answer 10

it'd still require you to do some work if the center wasn't at 0,0,0. You'd have to change the √ part to use the pythagorean theorem