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

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- Jan 27th 2007, 06:17 PMc_323_hDirection 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 - Jan 27th 2007, 07:08 PMSoroban
Hello, c_323_h!

Quote:

Find the parametric equations for the line through $\displaystyle (1,-1,1)$

and parallel to the line $\displaystyle x+2\;=\;\frac{1}{2}y\;=\;z-3$

How do I obtain the direction of the line?

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

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