Gradient and velocity
Just curious
Let's say I have a plane with the equation
4x + 5y + 6z = 45
If I find \nablaF(x,y,z) and then find it's magnitude, I get the direction of steepest descent/ascent in the direction of <\partialF(x,y,z)/\partialx,\partialF(x,y,z)/\partialy...