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Let A(3,-1,3), B(0,7,-2), C(-9,3,-3) and D be four points in R such that AC and BD are orthogonal, and AD and BC are parallel.

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Let A(3,-1,3), B(0,7,-2), C(-9,3,-3) and D be four points in R such that AC and BD are orthogonal, and AD and BC are parallel. Using vector method, (a) find the coordinates of D; (b) (c) find two unit vectors which are orthogonal to the plane containing A, B and C; find the area of the triangle ABC.

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