Thread: Vectors: Parametric Equation

How would I find the direction vector in this problem?

Find parametric equations for the line that passes through the point (0, -1, 1) and the midpoint of the line segment from (2, 3, -2) to (4, -1, 5).

Please and thank you

Let

The midpoint is

The parametric equations of the line are:

So, would the midpoint be the direction vector of the line?
The answer to the question is x= 6t, y= -1 + 4t, z= 1 + t so the direction vector here is (6, 4, 1).