Final answer:
The question does not provide enough information to determine the value of k, and therefore cannot be accurately answered without additional context. Clear representation of the lines and k's involvement with them is needed.
Step-by-step explanation:
The question seems to be requesting the value of a variable k as it relates to the intersection of lines. However, the information provided is unclear and does not contain a coherent context to determine the value of k given the lines x-1 / 2 = y-1 / 2 = z-1 / 2.
In typical scenarios, one would resolve such a problem by setting up a system of equations representing the lines and finding the point of intersection, then determining the value of k if it is involved in the equations or in the conditions of their intersection.
Unfortunately, given the lack of clear information about how k is related to the provided lines, it is not possible to confidently provide a solution to this question. To do so would require a proper representation of the lines and a clear statement of how k is involved in the intersection condition. It is recommended that the student reviews the problem statement and provides additional details that are essential in solving for k.