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Let L be the line in that contains the point (2, 0,1), and is parallel to the vector (1,1, 1). Let V be the plane

Let L be the line in that contains the point (2, 0,1), and is parallel to the vector (1,1, 1). Let V be the plane containing the line L and the point (0,0,1).

(a) Determine the Cartesian equation for V . (7 marks)

(b) Determine a parametric equation of the line that is perpendicular to V and passes through the point (2, 0,1). (4 marks)

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