$\vec{n_0}$

P: (-2 | 3)
n: (3, 4)
n0: n / abs(n)
N: P + n
f = Line(P, N)
g = OrthogonalLine(P, f)
N0: P + n0
u = Vector(P, N0)
O: (0 | 0)
a = Distance(O, g)
h = OrthogonalLine(O, g)
F = Intersect(g, h)
i = Segment(O, F)