Question: Let L : x = 1 2t, y = 3 t, z = 3 be the parametric equation of the line L. (a)

Let L : x = 1 − 2t, y = 3 − t, z = 3 be the parametric equation of the line L.

(a) What is the direction vector of the line L?

(b) Write two different points on the line L.

(c) Write an equation of the plane which contains the line L and the point (1, 0, 3). (Hint: you may obtain two vectors and take their cross product to find a normal vector of the plane)

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