For any two vectors a and b
|a - b| = |a + b|
|a - b| = |a| - |b|
|a - b| ≥ |a| - |b|
|a + b| ≤ |a - |b|
For any two vectors a and b, the magnitude of difference of two vectors is always greater than the difference of individual mangnitudes. Therefore, |a - b| ≥ |a| - |b|