Consider 3 points A(1,0,2), B(1,-1,2), C(5.4.-1) (a) Find the plane P(r.y.=) passing through the three points...

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Consider 3 points A(1,0,2), B(1,-1,2), C(5.4.-1) (a) Find the plane P(r.y.=) passing through the three points A,B,C above. [5 points (b) Show that the point D(1,1,1) does not belong to the plane P. Find a line L passing through point D and parallel to plane P. (There are a variety of lines L satisfying the above, write down one of them with an explanation). [5 points] (e) Which side of the plane does the point live in, top or bottom? (3 points Consider 3 points A(1,0,2), B(1,-1,2), C(5.4.-1) (a) Find the plane P(r.y.=) passing through the three points A,B,C above. [5 points (b) Show that the point D(1,1,1) does not belong to the plane P. Find a line L passing through point D and parallel to plane P. (There are a variety of lines L satisfying the above, write down one of them with an explanation). [5 points] (e) Which side of the plane does the point live in, top or bottom? (3 points