Project Vector onto Plane

Problem

Project vector v onto the plane through the origin with normal n.

Remove the component along the normal:

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

Return None if n is the zero vector.

Hint

Subtract the projection onto the normal; the normal direction is the only one removed.

case 1

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

expected: [1,2,0]

case 2

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

expected: [-1,0,1]

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],[0,0,2]]

expected: [1,1,0]

Starter codePython

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

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