MediumCalculusca-076

Curl of 3D Vector Field

Problem

For the vector field F(x, y, z) = [a*y*z, b*z*x, c*x*y], compute the full curl vector at (x, y, z).

curl F = [dR/dy - dQ/dz, dP/dz - dR/dx, dQ/dx - dP/dy] = [x*(c - b), y*(a - c), z*(b - a)].

Hint

Each curl component pairs one partial of the field components in cyclic order.

case 1

in: [1,1,1,2,3,4]

expected: [0,0,0]

case 2

in: [1,2,3,1,1,1]

expected: [1,-2,1]

case 3

in: [0,0,1,2,0,5]

expected: [2,0,0]

case 4

in: [2,-1,4,0,3,2]

expected: [0,-6,-6]

Starter codePython

def curl3d(a, b, c, x, y, z):
    # Return the curl vector
    # Your code here
    pass

4 test cases · run your code against them in the editor