Parallelogram Area via Cross Product

Problem

Compute the area of the parallelogram spanned by 3D vectors u and v:

area = ||u x v||_2

Hint

The cross product magnitude equals base times height.

case 1

in: [[1,0,0],[0,1,0]]

expected: 1

case 2

in: [[2,0,0],[0,3,0]]

expected: 6

case 3

in: [[1,1,0],[1,-1,0]]

expected: 2

case 4

in: [[1,2,3],[4,5,6]]

expected: 7.3484692283495345

Starter codePython

def parallelogram_area(u, v):
    # Your code here
    pass

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