Prove that for any vectors a and b, |a-b| is less than or equal to |a| + |b|(adsbygoogle = window.adsbygoogle || []).push({});

I'm kind of lost, b/c i can't see a case where |a-b| would actually result in a value being less than |a| + |b|.

I've tried doing a proof that is similar, and when I was taught, the definition of absolute value was used to prove it.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Discrete Math Help

**Physics Forums | Science Articles, Homework Help, Discussion**