Tangent plane to a surface

Find the tangent plane to the surface (cylinder) at point T(13.41, 11.94, 3.53).

Step-by-step solution

On the sphere, the radius to T is perpendicular to the tangent plane.
On the cylinder, the plane contains the generator through T and is perpendicular to the radius.
On the cone, the plane contains the generator through T.
Check that the plane passes through T and its normal is correct.

Result: 1 tangent plane(s). El plano contiene la generatriz que pasa por el punto y es perpendicular al radio.

On the sphere the tangent plane is unique; through an outside line there may be two; parallel to a given plane, also two.