Hi everyone here is the original question:(adsbygoogle = window.adsbygoogle || []).push({});

Find the length of the shortest line segment which can be drawn from a point on the sphere (x-1)^2 + (y-2)^2 + (z-3)^2 = 9

to a point of the plane x + 2y + 2z = 28.

I am having a lot of difficulty with this:

what I'm trying is to find some way to write the arclength equation for

all the lines between those points lying on the sphere and those in the plane,

then minimize the arclength equation using

d/dt(L(p)) = 0

How could I go about doing this problem?

The answer in the book is 8/3.

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# Distance from a point on a sphere to a point on a plane

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