Span Membership 2D

Problem

Return True if vector w lies in the span of vector v in R^2, meaning w is a scalar multiple of v.

Handle the zero vector: if v is [0, 0], the only member of its span is w = [0, 0].

Hint

Two 2D vectors are parallel exactly when their cross product is zero.

case 1

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

expected: true

case 2

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

expected: false

case 3

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

expected: true

case 4

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

expected: false

Starter codePython

def is_scalar_multiple_2d(v, w):
    # Your code here
    pass

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