I need to find the plane that contains the line and is parallel to the plane

I know that the normal vectors should have a dot product equal to one. also know that the points lie on the line , correpsonding to . The points are also the terminal points of the vectors . Substracting these vectors, I write the vector equation of the plane as

(1) .

The problem is that I don't know how to find the vector . I know that are parallel so

(2)

I can only solve this for the magnitude of . How do I get the vector? Secondly, I need to know if I'm setting this up right. Is equation (1) correct?