parametric and symmetric equations in R^3?? 1. The problem statement, all variables and given/known data Recall that there are three coordinates planes in 3-space. A line in R3 is parallel to xy-plane, but not to any of the axes. Explain what this tells you about parametric and symmetric equations in R3. Support your answer using examples. 2. Relevant equations 3. The attempt at a solution This question had me thinking for a while, but i want to confirm my understanding or if i am even correct. I think the line is perpendicular to the Z-axis, So does this mean that the directional vector for z component is 0? basically [ax,ay,0].But couldn't it be perpendicular to xy plane, and still have a directional z component? But besides that, using that information, in terms of parametric equation it tells us that the z is just going to equal the position vectors z component. Now here is where i get confused...with the symmetric equation. Can you guys please explains this to me in simplest terms...i am trying really hard to understand this vectors in 3 space stuff.