Find the equation of a normal plane at a point (1,2,3) on the intersecting line of $ x^2+y^2+z^2=14 $ and $x^2+y^2=5$.
Is the definition of the normal plane here the plane contains two normal vector at the point?
Is is okay if I find the cross product of two tangent vector at the point,
and use it to find an equation of plane which I think is the mentioned normal plane?
It results in x+2y=5.