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.

Answer 1

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.

Answer 2

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).

Answer 3

Thanks!