Math Help - Direction of Vector

1. Direction of Vector

Find the parametric equations for the line through (1, -1, 1) and parallel to the line x+2=0.5y=z-3

How do I obtain the direction of the line? Thanks

2. Hello, c_323_h!

Find the parametric equations for the line through $(1,-1,1)$
and parallel to the line $x+2\;=\;\frac{1}{2}y\;=\;z-3$

How do I obtain the direction of the line?

They gave us the symmetric form of the line: . $\frac{x + 2}{1}\;=\;\frac{y}{2}\;=\;\frac{z-3}{1}$

The direction vector is: . $\langle1,\,2,\,1\rangle$ . . . the denominators.