Find the equation of the plane through the line; r=(a,b,c)+t(d,e,f), and parallel to the line; r=s(g,h,i)
(note: a-i are all real numbers - but i'm not telling what because I don't like people solving my problems, s and t are parametric variables)
The Attempt at a Solution
- I realise I need a point on the plane and a normal vector to the plane
- if it's parallel to the line, then the normal to the line is the same as the normal to the plane. So I need to find the normal to the line... somehow?
- i'm not quite sure how to work with the information 'plane through the line', but i'm assuming this is supposed to somehow give me my point?
If someone could give me a push as to how to find those two pieces of information, I should have no problem finding the equation of the plane, thank-you.