DDC-51: Distributive property of vector-scalar multiplication

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Today’s challenge

Demonstrate the distributive property of vector addition and scalar multiplication. The distributive property states the following, for some scalar \alpha and two vectors v_1 and v_2.

Using the following vectors and scalar, show that both sides of the equation above and equal.

v1 = np.array([ 1,2,-3 ])
v2 = np.array([-5,1.5,3 ])
s  = 2.5

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import numpy as np

v1 = np.array([1,2,-3])
v2 = np.array([-5,1.5,3])
s = 2.5

result1 = s*(v1+v2)
result2 = s*v1 + s*v2
print(result1,’\n’,result2)