Problem: Please find an equation for the plane that contains the point <3, -2, 4> and that includes the line given by (x-3)/2 = (y+1)/-1, z=5 (in symmetric form). Simplify
I'm really not sure where to start and what process to take to arrive to my answer.
The Attempt at a Solution
My first attempt at this problem was to turn the symmetric equation into a vector equation <2t-3, -t-1, and 5> then take the normal vector <2, -1, 0> but then I'm not sure if I should be doing that in the first place.