In each of the following cases,determine the direction cosines of the normal to the plane and the distance from the origin. $(a)\; z = 2 $

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$\begin{array}{1 1} d.c.=(0,0,1) \; distance=2units. \\ d.c.=(1,1,1) \; distance=2units. \\ d.c.=(1,1,0) \; distance=2units. \\ d.c.=(1,0,1)\; distance=2units. \end{array} $