The electric field in the xy-plane due to a point charge at (0,0) is a gradient field with a potential function V(x, y)=(k)/(√(x^2 y^2)), where k>0 is a physical constant. a. Find the components of the electric field in the x - and y -directions, where 𝐄(x, y)=-∇V(x, y). b. Show that the vectors of the electric field point in the radial direction (outward from the origin) and the radial component of 𝐄 can be expressed as Er=(k)/(r^2), where r=√(x^2 y^2). c. Show that the vector field is orthog

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