Find a unit vector normal to the surface zex2−y2=3 at (1,1,3). also find the standard form of the equation of the tangent plane at the given point. note that there are two expressions for the unit normal that differ by a minus sign. to fix a unique answer we give the coefficient of the k component. similarly, the equation of the tangent plane ax+by+cz+d=0 is only unique up to a constant multiple. in order to clarify your answer we give the coefficient of the z so that there is a unique solution. unit normal: n= i+ j+173−−√k tangent plane: x+ y+ z −3=0