Multivariable & Vectorhard
0:00.0

Given a smooth surface defined implicitly by F(x,y,z)=x2+2y2+3z26=0F(x, y, z) = x^2 + 2y^2 + 3z^2 - 6 = 0, find the gradient F\nabla F at the point (1,1,1)(1, 1, 1), and determine which vector is normal to the surface at this point.