Write a vector and parametric equation for a plane that:
b) contains (-5,9,-3) and is parallel to [x,y,z] = [1, -2, 7] + s[4, -1, -3] and
[x,y,z] = [7,-2,15] + t[1,6,-8]
The Attempt at a Solution
I'm not sure where to start. Usually, when asking for parallel lines, I find if the direction vectors are scalar multiples of each other, then I find out if s and t have the same value for all x y and z.
I'm confused about planes.
What they had as the answer was the exact same direction vectors s and t, and then the point given as r nought.