# Find the smallest and largest values possible for ||V - W||.

Let v and w be vectors

if ||v|| = 2 and ||w|| = 3 what are the smallest and largest values possible for ||V - W||?

Show a geometric explanation of this answer.

Please show all work and reasoning in detail.

Â© BrainMass Inc. brainmass.com March 5, 2021, 12:06 am ad1c9bdddfhttps://brainmass.com/math/basic-algebra/smallest-largest-values-possible-483027

#### Solution Preview

Please see the attached file. Hope it helps. Good luck!

Vectors

Let v and w be vectors. If ||v|| = 2 and ||w|| = 3 what are the smallest and LARGEST VALUES POSSIBLE FOR ||V - W||?

show a geometric explanation of this answer.

Please show all work and reasoning in ...

#### Solution Summary

Let v and w be vectors. If ||v|| = 2 and ||w|| = 3 what are the smallest and largest values possible for ||V - W||?

The smallest value is 1, and the largest value is 5.

$2.49