a = (2 -8) and b = (14 -56)

Question

Given that ka = b, work out the value of k.

Answer 1

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.