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 $\displaystyle M_1(0,-1,1)$
The midpoint is $\displaystyle M_2\left(3,1,\frac{3}{2}\right)$
The parametric equations of the line $\displaystyle M_1M_2$ are:
$\displaystyle \left\{\begin{array}{lll}x=x_1+t(x_2-x_1)\\y=y_1+t(y_2-y_1)\\z=z_1+t(z_2-z_1)\end{array}\right., \ t\in\mathbf{R}$