\(\frac{{\partial U}}{{\partial x}}\,\, = \,\,2kx\,,\,\,\,\frac{{\partial U}}{{\partial y}}\,\, = \,\,2ky\,,\,\,\,\frac{{\partial U}}{{\partial z}}\,\, = \,\,2kz\)
\(\vec F\, = \,\, - k(2x\hat i\,\, + \,\,2y\hat j\,\, + \,\,2z\hat k)\,\,\,\,\therefore \,\,\,\,\,\vec F\,\, = \,\, - \,2k(x\hat i\,\, + \,\,y\hat j\,\, + \,\,z\hat k)\)