... with the cross product being(adsbygoogle = window.adsbygoogle || []).push({}); defined as: A X B = |A| |B| sin [tex]\theta[/tex] times a unit vector perpendicular to the plane of A&B (direction according to the right hand rule, in the usual way).only

where theta is the smallest angle between vectors A & B.

A X ( B + C ) = A X B + A X C

is the equation I have to prove without using a component-wise approach; I'm considering the case where one of the three vectors would be perpendicular to the two other as I have shown the coplanar case.

I have tried using several approaches, graphical and algebraic, both unsuccessful so far.

If you have any ideas please let me know, just to get started don't do anything more than suggesting something - I should be able to figure it out.

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!

# Proving Cross Product distributivity, but

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