a) Determine the vector equation and the parametric equations of the line (L1) which passes through the points A(-1, 2, 5) and B(1, 4, 7).

b) Determine the vector equation and the parametric equations of the plane (P1) that passes through the points A(-1, 2, 5), B(1, 4, 7) and C(2, 5, 5).

c) Determine if the line (L1) intersects the line (L2) of equation L2 : [x, y, z] = [2, -5, 3] + t [1, 1, 1]. Justify your answer.

d) Determine the scalar equation of the plane that is perpendicular to the line (L2) and passes through the point D(1, 0, -1).

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