(Solved): Check that the four points \( P(2,4,4), Q(3,1,6), R(2,8,0) \), and \( S(5,2,3) \) all lie in a pla ...

Check that the four points \( P(2,4,4), Q(3,1,6), R(2,8,0) \), and \( S(5,2,3) \) all lie in a plane. Then use vectors to find the area of the quadrilateral they define. (Use symbolic notation and fractions where needed. Enter DNE if the points do not lie in a plane. ) \( A \)