(a) True. (b) False. (c) True. (d) True.
Work Step by Step
(a) True. Translating (moving) a vector does not change it. (b) False. A unit vector has a particular length (1 unit). (c) True. Moving a vector to the origin will keep it parallel to the original vector. (d) True. Changing the length of the vector will not change its slope/direction.