Editing Hairy ball theorem (section)

==Application to computer graphics==
A common problem in computer graphics is to generate a non-zero vector in {{math|ℝ<sup>3</sup>}} that is [[Orthogonality|orthogonal]] to a given non-zero vector. There is no single continuous function that can do this for all non-zero vector inputs. This is a [[corollary]] of the hairy ball theorem. To see this, consider the given vector as the radius of a sphere and note that finding a non-zero vector orthogonal to the given one is equivalent to finding a non-zero vector that is tangent to the surface of that sphere where it touches the radius. However, the hairy ball theorem says there exists no continuous function that can do this for every point on the sphere (equivalently, for every given vector).