Hello,(adsbygoogle = window.adsbygoogle || []).push({});

Quick question, not really homework but more of a general inquiry. Take three vectors: a,b and c such that a and c are orthogonal. Is it possible to write c as a linear combination of a and b such that:

c = ma + nb where m,n are scalars.

I was thinking not at first glance but reading around has made me think twice.

Is it possible?

Thanks

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

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!

# Writing orthogonal vectors as linear combinations

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