A Bentech Presentation...
Line in Space (passing through a point A 
and parallel to a vector)

A: (2, 3, 4)
B = (4.560419319757187, 3.2944103171087704, 6)
f = Line(A, B)
a: z = 0
u = Vector(A, B)
C = (4.713223616055096, 0.30440926195958795, 4)
C' = Translate(C, u)
v = Vector(C, C')