Cross product of two vectors in Python

Question

How can I calculate the cross product of two vectors without the use of programming libraries?

E.g given vectors a = (1, 2, 3) and b = (4, 5, 6)

Answer 1

for multiple dimensions, this might work;

    def crossProd(a,b):
      dimension = len(a)
      c = []
      for i in range(dimension):
        c.append(0)
        for j in range(dimension):
          if j <> i:
            for k in range(dimension):
              if k <> i:
                if k > j:
                  c[i] += a[j]*b[k]
                elif k < j:
                  c[i] -= a[j]*b[k]
      return c