Question: 10. Let a scalar function be defined as f(r)=2xy-3yz (a) Find the gradient of f (grad f). (b) Find a unit-length vector that points

10. Let a scalar function be defined as f(r)=2xy-3yz (a) Find the gradient of f (grad f). (b) Find a unit-length vector that points in the direction of maximum increase of f at the point (6,1,1). 11. Let f(r)=z-x - y. The equation f(r) = 0 describes a cup-shaped surface S. Find the surface normal vector to the surface at point (x-1, y-2, z-3). You DO NOT need to normalize this vector.

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