Line in 3D

a_{1} = -1 (slider from -5 to 5)
a_{2} = 3 (slider from -5 to 5)
a_{3} = 2.277013326971094 (slider from -5 to 5)
P_{0}: (a_{1}, a_{2}, a_{3})
v_{1} = 2.8804884870080087 (slider from -5 to 5)
v_{2} = 0.7642070140637358 (slider from -5 to 5)
v_{3} = 1 (slider from -5 to 5)
V: (v_{1}, v_{2}, v_{3})
v = Vector((v_{1}, v_{2}, v_{3}))
r_{0} = Vector((0, 0, 0), P_{0})
a = Vector(P_{0}, (a_{1} + v_{1}, a_{2} + v_{2}, a_{3} + v_{3}))
l = Line((x(r_{0}), y(r_{0}), z(r_{0})), Vector[(x(v), y(v), z(v))])
P: (a_{1} + v_{1}, a_{2} + v_{2}, a_{3} + v_{3})
r = Vector(V, P)