I am trying to calculate field using vector summation. I have a loop (in 2D) then hopefully a helix in 3D. For each point, I need to calculate the vector r^, distances to the discretized loop. This i hope will give a list of r^'s. I then need the cross product ( J x r^)

I thought I could map the function cross product for the point a=1,1,0 to the vectors, but having some difficulty.

This probably will not make sense. Thank you in advance

en = 2;
comp = 0.2;
turns = 1;
(*pitch = comp*2*\[Pi]*)
uStep = 0.05;
(*zscale = 1/( comp*uStep);*)
height = Round[turns*pitch] + 1;
x[u_] := Round[en Sin[u]] + en + 1;
y[u_] := Round[en Cos[u]] + en + 1;


biArray = 
 ConstantArray[
  0, {2 en + 1, 2 en + 1, 
   3}]; (*x and y this is for defining the helix*) 
biVArray = ConstantArray[{0, 0, 0}, {2 en + 1, 2 en + 1}]; 
(*vector 0,0,0 in x,y, and z this is for defining the vectors of the \
helix*)
biRArray = ConstantArray[{0, 0, 0}, {2 en + 1, 2 en + 1}];

Do[biArray[[x[u], y[u]]] = 1, {u, 0, turns 2 Pi, 
  0.1}] (*For points in array which contain the helix are given \
value=1*)
Do[biVArray[[x[u], y[u]]] = {x[u + 1] - x[u - 1], 
   y[u + 1] - y[u - 1],(*z defined here as 0*)0}, {u, uStep, 
  turns 2 Pi - uStep, 
  uStep}](*For points in array which contain the helix direction of \
the vector*)

Print[biVArray]

a={1,1,0}
Map[Cross[a, {biVArray}]]

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