Find the directions in the xy-plane in which the function f(x,y)=e¹-2xy has zero change at the point P(-6,0,e). Express the directions in terms of unit vectors. What is the unit vector in a direction of zero change with a positive x-component (or positive y-component if both x-components are zero)? (Simplify your answers. Type exact answers, using radicals as needed.)

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