1. The problem statement, all variables and given/known data Find the parametric equation and symmetric equation for the line : 11) The line through (1,-1,1) and parallel to the line x + 2 = y/2 = z-3 2. Relevant equations Parametric equation : x = x0 - at y = y0 - bt z = z0 - ct symmetric equations : (x - xo) / a = (y - yo)/b = (z - zo) /c 3. The attempt at a solution I just need to find a parallel vector to the line x + 2 = y/2 = z-3. Then I could use that vector with the initial point to find the parametric equation and the symmetric equation. I am just not sure how to find the parallel vector. Looking at the book for answer, I see that the parallel vector is <2,3,2>, but I can't figure out how to obtain that answer.