Using Thread properly?

Questions
1

I guess I don’t understand how threading works. Suppose I define a function

f[v__, c__] := v + c;

Here v is intended to be a vector, and c is a scalar::

vec = {a, b, c, d};

f [vec, x]

then yields

{a + x, b + x, c + x, d + x}

Suppose I want to repeat this for a sequence of c’s. I would write:

cs = {e, f, g}

Table[ f [vec, cs[[i]] ], {i, Length[cs]}]

I then get

{{a + e, b + e, c + e, d + e}, {a + f, b + f, c + f, d + f}, {a + g,  b + g, c + g, d + g}}

Now I’d like to do this same thing in parallel:

Thread[ f [vec, cs], List, {2}]

My understanding of this statement is that I want to evaluate f [vec, c] for each c contained in {e, f, g}.

Instead what I get is:

Thread::tdlen: Objects of unequal length in {a,b,c,d}+{e,f,g} cannot be combined. >>

I attach a pdf version of my Mathematica session. If anyone can clarify this for me, I would appreciate it.
Thanks for reading this.

2

I don’t think Thread is meant as parallelization. (where Thread normally means indeed creating a thread).
I think you mean ParallelTable?

http://reference.wolfram.com/language/ref/ParallelTable.html

3

Thank you for your help.. That solved my problem.

4

f[vec, #] & /@ cs
(* {{a + e, b + e, c + e, d + e}, {a + f, b + f, c + f, d + f}, {a + g, b + g, c + g, d + g}}