Reflect Vector across Plane

Problem

Reflect vector v across the plane through the origin with normal n.

The reflection flips the normal component:

v - 2 * ((v . n) / (n . n)) * n

Return None if n is the zero vector.

Hint

A reflection is the identity minus twice the projection onto the normal.

case 1

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

expected: [1,2,-3]

case 2

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

expected: [-2,0,0]

case 3

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

expected: [1,-1,5]

case 4

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

expected: null

case 5

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

expected: [1,-1,-1]

Starter codePython

def reflect_across_plane(v, n):
    # Your code here
    pass

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