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Find a vector equation and parametric equations for the line.

The line through the point $ (2, 2.4, 3.5) $ and parallel to the vector $ 3i + 2j - k $

The line through the point $ (0, 14, -10) $ and parallel to the line $ x = -1 + 2t $ , $ y = 6 - 3t $ , $ z = 3 + 9t $

The line through the point $ (1, 0, 6) $ and perpendicular to the plane $ x + 3y + z = 5 $

Find parametric equations and symmetric equations for the line.

The line through the origin and the point $ (4, 3, -1) $

The line through the points $ (0, \frac{1}{2}, 1) $ and $ (2, 1, -3) $

The line through the points $ (1, 2.4, 4.6) $ and $ (2.6, 1.2, 0.3) $