Well, it is homework. But here's a hint:
In[25]:= helix = {4 Cos[3 t], 4 Sin[3 t], t}; In[26]:= tangentVectors = D[helix, t] Out[26]= {-12 Sin[3 t], 12 Cos[3 t], 1}
Thank you very much! I was able to create the tangent lines along the helix.
Noah, how did you do it?