Question

Find parametric equations for the lines in Exercises 1–4.

1. The line through the origin parallel to the vector 2j + k

2. The line through the point (3, -2, 1) parallel to the line x = 1 + 2t, y = 2 - t, z = 3t

3. The line through (1, 1, 1) parallel to the z-axis

4. The line through (2, 4, 5) perpendicular to the plane 3x + 7y - 5z = 21

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