Chapter 13 - Vector Geometry - 13.1 Vectors in the Plane - Preliminary Questions - Page 649: 5

a) True. b) False.

(a) True. The lines through $ v $ and $−2v $ are parallel; therefore these vectors are parallel. (b) False. The vector $−2v $ is a scalar multiple of $ v $, where the scalar is negative. Therefore $−2v $ points in the opposite direction of $ v $.