Find the direction of the fastest growth of the scalar field
$f=xe^{2y}+z^3+xy^2$
at the point p(x,y,z)=(1,0,2)
so i calculated the gradient
$\operatorname{grad} f = < e^{2y} + y^2, 2x e^{2y} + 2xy , 3z^2 >$
so i have now
$<1,2,12>$ is it this direction ? or should i divide it all by lenght of vector?