What is the difference between Gradient vector and Normal vector? How are they same?

Which is used for the vector fields and which is used for level surfaces? I am confused between the two since both have different formal.


normal vector is found by doing cross product of 2 tangents orthogonal on the surface. The gradient vector is found using the del operator.|||A Gradient Vector is at right angle to the Field Potential Lines. Streamlines follow the Gradient.





A Normal Vector ias at right angle to a surface (usually the Control Surface)