Posted by **Kate** on Sunday, October 17, 2010 at 11:00pm.

If a point on the surface of a sphere with its center at the origin has coordinates (9,4,6) how do you show the radius connecting the origin to this point as a position vector. Is it simply [9,4,6] or is it more complicated than that. Thanks.

- Math/Vectors -
**MathMate**, Monday, October 18, 2010 at 11:05am
If the sphere's centre is at the origin, then the vector from the origin to the point is simply (9,4,6) as you stated.

- Math/Vectors -
**MathMate**, Monday, October 18, 2010 at 11:07am
If the vector is from a point (x0,y0,z0) to the given point, then it is

(9-x0, 4-y0, 6-z0).

So when (x0,y0,z0)=(0,0,0), it reduces to simply (9,4,6).

- Math/Vectors -
**Kate**, Monday, October 18, 2010 at 12:31pm
Thanks!

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