posted by Kate .
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.
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.
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).