Proving Tangent Vector Field X on \Re^{3} to a Cylinder in \Re^{3}

[Mathman_]

How do I show that a Vector field X on $$\Re^{3}$$ is tangent to a Cylinder in $$\Re^{3}$$?

 

[Dick]

Show that for any point x on the cylinder that the vector X(x) is in the tangent space to the cylinder at x.