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To find the value of k, we need to set up the equation ka = b and then solve for k.
a = (2, -8)
b = (14, -56)
So, we have:
k * (2, -8) = (14, -56)
Multiplying each component of vector a by k, we get:
(2k, -8k) = (14, -56)
Setting the x-components equal to each other, we have:
2k = 14
Solving for k:
k = 14 / 2
k = 7
So, the value of k is 7.