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Let L And ll ^ { \prime } Be Two Lines in Space Given by the Equations
X

Question 269

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Let l and ll ^ { \prime } be two lines in space given by the equations
x = 3 + t
x = -1 + t
l:
y = 1 - t ll ^ { \prime } :
y = 2t
z = 2t
z = 1 + kt
Find all values of k (if any) for which l and ll ^ { \prime } are parallel.

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