Chapter 7 - Section 7.5 - Vectors: An Algebraic Approach - 7.5 Problem Set - Page 404: 5

1. Length 2. Direction

Imagine you are driving your car north east at 10 miles per hour, then all of the sudden you want to double your velocity, so you speed up to 20 miles per hour. The direction in which you are travelling does not change, simply the magnitude of your velocity. This is how scalar multiplication works.