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## Homework Statement

I have a sphere and a line of radius extending from its centre to the outer surface.

I would like to know the coordinates of a point on the tip of the radial line if I were to extend it beyond the surface of the sphere in a straight line.

So I have the length of the radius of the sphere centred @ (0,0,0).

I would like to extend the radius line outward in a straight line by a give amount.

Then I would like to know the coordinates of the tip of the new extended radius line.

## Homework Equations

x^2 + y^2 + z^2 = r^2

## The Attempt at a Solution

(x+a)^2 + (y+b)^2 + (z+c)^2 = (r+d)^2

In the above I know what (r+d)^2 is.

I need to calculate what a, b and c are.