ijk vectors

i: (1, 0, 0)
j: (0, 1, 0)
k: (0, 0, 1)
a_{1} = 1 (slider from -10 to 10, step 1)
a_{2} = 1 (slider from -10 to 10, step 1)
a_{3} = 1 (slider from -10 to 10, step 1)
u: (a_{1} * i) + (a_{2} * j) + (a_{3} * k)
v: (a_{1} * i)
w: (a_{2} * j)
a: (a_{3} * k)
A: (a_{1}, 0, 0)
B: (0, a_{2}, 0)
C: (0, 0, a_{3})
D: (a_{1}, a_{2}, 0)
E = (0, 0, 0)
Ve = -0.9 (slider from -5 to 5)
b = Vector((a_{1}, 0, 0), (a_{1}, a_{2}, 0))
c = Vector((a_{1}, a_{2}, 0), (a_{1}, a_{2}, a_{3}))