In this case, thedistancebetween u and z is 2sqrt(14).To find the distance between two vectors, we can use theformula: distance = ||u - z||where || ||denotesthe norm (or magnitude) of thevector. In this case, we have:u = [0, -5, 2]z = [-4, -1, 8]So, the difference between the two vectors is:u - z = [0 - (-4), -5 - (-1), 2 - 8] = [4, -4, -6]The norm of this vector is:||u - z|| = sqrt(4^2 + (-4)^2 + (-6)^2) = sqrt(56) = 2sqrt(14)Therefore, the distance between u and z is 2sqrt(14).In summary, the distance between two vectors can be found by taking thenormof their difference vector. In this case, the distance between u and z is 2sqrt(14).To know more aboutdistanceclick herebrainly.com/question/29130992#SPJ11...

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