Consider the surface f (x comma y comma z )f(x, y,z)equals=negative 2 x squared plus 2 y squared minus 3 z squared plus 3 equals 0−2x2+2y2−3z2+3=0, which may be regarded as a level surface of the function wequals=f (x comma y comma z )f(x, y,z). the point p(negative 2 comma 2 comma 1 )(−2,2,1) is on the surface. a. find the (three-dimensional) gradient of f and evaluate it at p. b. the heads of all the vectors orthogonal to the gradient with their tails at p form a plane. find an equation of that plane.