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Show that the line joining the origin to...

Show that the line joining the origin to the point (2,1,1) is perpendicular to the line determined by the points `(3,5,-1) and (4,3,-1)`.

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Show that the line joining the point A(1,-1,2) and B(3, 4, -2) is perpendicular to the line joining the points C(0,3,2) and D(3,5,6).