I am trying to find both the parametric and symmetric equations of a line passing through two points. This is for a study exam, so exact answers are not as helpful as detailed solutions.
I found the points vectors then put them with respect to t: r(t) = <3,-1,1>+t<-2,1,1>
Then set each x,y,z to t, which should be the parametric equation: x=3-2t y=-1+t z=1+t
Then to find the symmetric equation I set the points equal to giving me this: (3-x)/2=1+y=z-1
I am having trouble finding if I went about this the wrong way, primarily when creating the vectors and putting them in the equation for a line with respect to t.