Scalar Projection Component

Problem

Compute the scalar projection (signed component) of vector u onto vector v:

comp_v(u) = (u . v) / ||v||

Return None if v is the zero vector.

Hint

Divide the dot product by the norm of v; the sign follows the angle.

case 1

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

expected: 3

case 2

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

expected: 1.414213562373095

case 3

in: [[0,5],[0,0]]

expected: null

case 4

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

expected: 0

case 5

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

expected: 3.6

Starter codePython

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

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