# If ||v|| = 3, what is ||-2v||?

##### 1 Answer

Nov 6, 2015

The norm of

#### Explanation:

Using formulas, you know that

Intuitively, the norm measures the leght of a vector, and multiplying a vector by a number means to stretch (or shrink) the vector according to the number. For example,

The sign of the number only affect the direction of the vector: