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

I need to prove a few theorems about vector spaces using the axioms.

a) Prove: if -v = v, then v = 0

b) Prove: (-r)v = -(rv)

c) Prove: r(-v) = -(rv)

d) Prove: v - (-w) = v + w

where r is a scalar and v, w are vectors.

**Physics Forums - The Fusion of Science and Community**

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

# Prove a few theorems about vector spaces using the axioms

Loading...

Similar Threads - Prove theorems vector | Date |
---|---|

A lemma in proving Sylow's theorem | Apr 12, 2015 |

Lemma used to prove Von Staudt's Theorem | Oct 21, 2013 |

Prove Wilson's theorem by Lagrange's theorem | Apr 9, 2010 |

How to prove this theorem | Aug 6, 2009 |

**Physics Forums - The Fusion of Science and Community**