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

I did it like this:

def cross_product(u,v):  
    dim = len(u)
    s = []
    for i in range(dim):
        if i == 0:
            j,k = 1,2
            s.append(u[j]*v[k] - u[k]*v[j])
        elif i == 1:
            j,k = 2,0
            s.append(u[j]*v[k] - u[k]*v[j])
        else:
            j,k = 0,1
            s.append(u[j]*v[k] - u[k]*v[j])
    return s