The question I am looking at asks,(adsbygoogle = window.adsbygoogle || []).push({});

Let a be the vector (-1,2) inR^2. Is the set S = { x is inR^2 | x dot a = 0}

a subspace?

--> x and a are vectors...

Can anyone explain how to show this?

I was thinking that since the zero vector is in R^2, this must also be a subspace.

Thank you.

**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!

# Linear algebra, subspace.

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