Consider the plane E: bar(r)=[[-1],[1],...

Consider the plane E: `bar(r)=[[-1],[1],[1]]+lambda[[1],[2],[0]]+mu[[1],[0],[1]]` Let F be the plane containing the point `A(-4,2,2)` and parallel to E.Suppose the point B is on the plane E such that B has a minimum distance from the point A. If `C(-3,0,4)` lies in the plane F. Find the area of the triangle ABC.

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